Heteropogon contortus

Slides:



Advertisements
Similar presentations
Manufacturing Processes lab I Running a lathe machine-2
Advertisements

Lesson 5.2 Apply the tangent ratio Georgia Performance Standards: MM2G2a, MM2G2b, MM2G2c.
Inference for Regression
Graphic Communication.  The elevation and plan of an angled bearing block are shown.  Project an auxiliary elevation in the position indicated Auxiliary.
Velocities Trigonometry MATH 103 S. Rook. Overview Section 3.5 in the textbook: – Linear velocity – Angular velocity – The relationship between linear.
Quantitative Skills 4: The Chi-Square Test
Hypothesis Testing “Teach A Level Maths” Statistics 2 Hypothesis Testing © Christine Crisp.
Physics and Clouds The Connection A Demonstration The Implications.
Lab3: writing up results and ANOVAs with within and between factors 1.
SIMPLE MACHINES. INVESTIGATION 1 SIMPLE MACHINES.
Chapter Eleven 11.1 Fabric Geometry 11.2 Fabric cover and cover factor
Radians and Degrees Trigonometry MATH 103 S. Rook.
Radian and Degree Measure Objectives: Describe Angles Use Radian and Degree measures.
Radian & Degree Measure
7A MP 1 Exam 1.Safety: Write down 2 safety procedures to follow in the laboratory. Point test away from yourself and everyone else. Wear goggles to protect.
Answering questions about life with statistics ! The results of many investigations in biology are collected as numbers known as _____________________.
TOPIC 1 STATISTICAL ANALYSIS
Grade 12 Trigonometry Trig Definitions. Radian Measure Recall, in the trigonometry powerpoint, I said that Rad is Bad. We will finally learn what a Radian.
Note 2: Perimeter The perimeter is the distance around the outside of a shape. Start at one corner and work around the shape calculating any missing sides.
Screens and Photograph Investigation By: Ismail Sadi 7A.
Terms to know going forward Angle: 2 rays an initial side and a terminal side. Initial side Terminal side Positive angle goes counter clockwise. Negative.
  Volume is defined as the amount of space taken up by a three-dimensional object. What is Volume.
Example 10.2 Measuring Student Reaction to a New Textbook Hypothesis Tests for a Population Mean.
Copyright © Cengage Learning. All rights reserved. CHAPTER Radian Measure 3.
TYPES OF MICROMETERS. Precision Measuring Tools Five categories of tools based on the dimension being measured – Outside – Inside – Depth – Thread – Height.
Triangle Author: Kit Date: Introduction In this slide show, we will talk about the right triangle and some properties Pythagoras’ Theorem.
Semester 2 Revision. NAME: TEACHER: Ms LeishmanLangley/CocksMs Le-RoddaMr Sinniah (please circle your teacher’s name) GISBORNE SECONDARY COLLEGE Year.
D OES PLAYING SPORTS AFFECT SCHOOL MARKS ? Arun Jha and Sagar Badve Year 10 Perth Modern School.
Using a Microscope Question Student Name Date
STROUD Worked examples and exercises are in the text Programme F9: Trigonometry PROGRAMME F9 TRIGONOMETRY.
The midpoint of a circle is centre The line drawn from the centre to the circumference is … radius.
Microscopy Techniques and Calculations. Types of Microscopes.
Before we begin our investigation of a radian let us first establish a definition of an angle and review some important concepts from geometry. What is.
Calculating Bullet Trajectory
Calculating Rotations for Turns
13-3 The Unit Circle Warm Up Lesson Presentation Lesson Quiz
Radian and Degree Measure
Please read the following and consider yourself in it.
What is the difference between theory and law?
Trigonometric Graphs Period = 3600 Amplitude = 1
Microscope Measurement
Area of Triangles.
P2 Chapter 5 :: Radians
What is a Radian? Before we begin our investigation of a radian let us first establish a definition of an angle and review some important concepts from.
Terms to know going forward
Unit 7 Today we will look at: Normal distributions
Right-angled triangles A right-angled triangle contains a right angle. The longest side opposite the right angle is called the hypotenuse. Teacher.
A Useful Circle Resource
Objectives Convert angle measures between degrees and radians.
…from now on this is strictly second year work
PROGRAMME F8 TRIGONOMETRY.
The opposite and adjacent sides Here is a right-angled triangle with hypotenuse h and acute angle θ. θ h Write an expression for the length of the.
Starter Questions Q1. Solve the equation below
CIRCLES:
Making Data-Based Decisions
FINAL EXAM REVIEW.
Starter.
P2 Chapter 5 :: Radians
Statistical Analysis Error Bars
Statistics and Probability-Part 9
Area of a circle Lesson 4.5 February 12th, 2012.
How do we convert angle measures between degrees and radians?
Warm Up a)Find the measure of the reference angle for each given angle. b) Find a pair of positive and negative coterminal angles for each given value.
Measuring cells.
AS-Level Maths: Core 2 for Edexcel
Water Strider Body Segment Dimensions Contact Perimeter (mm)
Section 10.2 Comparing Two Means.
Tom Divehall New Zealand 2018
Presentation transcript:

Heteropogon contortus Black speargrass Heteropogon contortus

Background Black speargrass is one of the most important grasses for graziers in Central Queensland. It has been observed that when wet, the speargrass awns (which contain a seed head on one end) twist around in a clump. This is thought to help the seed heads embed themselves into the soil.

Method I decided to look at what makes the speargrass awns twist. I observed the awns under a microscope, and took measurements before and after the awns were placed into a container of water.

Results - rotations 13 speargrass awns were tested. All of the awns rotated counter-clockwise when held by the tail end. They completed an average of 9.6 in the first 2 minutes after being immersed in water. After this time, nearly all of their movement had ceased.

Results - length The awns measured an average of 83.5 mm before wetting. After 2 minutes immersion in water, this rose to an average of 85.9 mm – an increase of 2.4 mm, or 2.8%. Therefore the speargrass awns somehow get longer when they twist around.

Results - diameter To confirm that the awns were not merely expanding, I measured their diameter with a micrometer. There was no significant difference in diameter before and after wetting (an average of 0.342 mm compared to 0.34 mm), which suggests that the awns were not expanding in all dimensions. However it was very difficult to get an accurate diameter reading with the micrometer, as the awns tended to get squashed by it.

Results – length/diameter There was a moderate relationship between the length of an awn and the number of times it rotated. This suggests that the increase in length causes the twisting, or vice versa.

Results – length/diameter

Results – microscope viewing I examined some awns under a compound microscope and found that they appear to consist of many strands, coiled around like a rope. I also examined the same awns after they had been wet.

Awn before wetting

Awn after wetting

Results – spiral angles I used the photo analysis program Tracker to measure the angles that the spiralling strands made with the side of the speargrass on 2 awns, before and after they were wet.

Results – spiral angles The average angle before wetting was 13.4º, and the average angle after wetting was 1.8º - a decrease of 88.6%.

My hypothesis I was now in a position to hypothesise about how the speargrass awns twist. From my observations, it appeared that the awns were made up of many tiny strands, spiralling around the centre. I hypothesised that the spiralling strands untwist when exposed to water.

Internal structure Next, I cut one awn in half, and looked at it under the microscope. It appeared to be hollow, with only one or two layers of strands around the outside. I realised that the untwisting of the spiralled strands would cause the awn to become longer, and this was what caused the awns to increase in length. Moreover, I realised I could calculate the theoretical increase in length that an awn would experience, as shown on the next slide.

Maths d h L h θ θ πd

Maths I know the circumference of the cylinder, from measuring it with the micrometer (0.34 mm). The average angle that the strands twisted around the awn was 73.6º. Using trigonometry, I can therefore calculate the height that is required for one strand to completely go around the awn. h = πd × tan(θ) = π × 0.34 mm × tan (73.6°) = 3.63 mm

Maths I also calculated the predicted increase in length if the spiral completely unwound. L = πd / cos(θ) = π × 0.34 mm / cos(73.6°) = 3.78 mm This is equal to a 4.1% increase in length.

Theoretical predictions

Theoretical predictions My calculations indicated that the awns should increase in length more than I observed; this is probably due to the fact that not all of the awns consist of spiralled strands – the tail end consists of a single strand.

Conclusion It appears that the rotation of speargrass awns is due to the untwisting of the many strands that make up the awn.

Conclusion I am hoping to study the movement of speargrass awns further, and also investigate whether the twisting action does help embed the seeds into the soil.