The Wheels on the Bus Go Round and Round. Wheels Suppose we know the diameter, d, of a tire… what other properties of the tire can we compute? The radius.

Slides:

Advertisements

Similar presentations

Class: IV Sub: Maths TOPIC: CARTS AND WHEELS

Advertisements

Balanced Forces and Unbalanced Forces Forces Change Motion We know that a force is a _____or a _____. There are many kinds of forces. Let’s name 3: Gravity.

Warm-Up Exercises Simplify the expression. ANSWER 1 8 3π3π (9π)

Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = °, b = 27.55, c = #4No triangle.

If the diameter of a circle is 6 in, then what is its radius?

Diameter, Circumference, and Rotational Sensors Robotics Academy All Rights Reserved.

Unit 4 Test 1 Review.

M5G2 – Students will understand the relationship of the circumference of a circle, its diameter, and pi (pi ≈ 3.14)

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator. =

TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.

Circles Learn to find the area and circumference of circles.

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator. =

Circumference and Arc Lengths Lesson The circumference of a circle is its perimeter. C = πd Leave answer in terms of π unless asked to approximate.

Bell Work: Solve: 3 x = 1 3 x = Answer: x = 5/12.

Table of Contents Unit 1- Understand the Problem Unit 2- Gather Information Unit 3-Develop Solutions Unit 4-Implement a Solution Unit 5-Test and Evaluate.

Linear Motion. Moving things have two different kinds of motion Linear Motion Harmonic Motion Motion is a change in position in a certain amount of time.

Keystone Geometry 1 Area and Circumference of a Circle.

Section 3.5 Velocities.

2.8 – Circles. TermPictureFormula Circumference r = radius d = diameter.

Do Now: What is the speed of an object that is standing still? Objective: to define and calculate speed.

Speed Today copy the words in red and underlined..

Minds and Computers 3.1 Preview Spin left motor Spin right motor Wait until the motors have spun two rotations Stop left motor Stop right motor What five.

Algebra 1 Notes 3.6 Warm Up Vocabulary 3.6 Ratio: Comparison of two numbers by division. Can be expressed 3 ways. Proportion: Equation stating.

Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

SECTION 3.3 EQ: How are linear and angular speeds calculated?

Geometry 1 Area and Circumference of a Circle. Central Angle A central angle is an angle whose vertex is at the center of the circle. 2 The measure of.

11.4 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Circumference and Arc Length.

Use the formula for circumference

Writing Our Own Functions Alice. Functionality A function receives value(s), performs some computation on the value(s), and returns (sends back) a value.

Unit F Chapter 2 Ch 2 Lesson 1 Investigation Have you ever been on a moving bus, car or train? What happens if you your standing and the vehicle starts,

Copyright © Cengage Learning. All rights reserved. CHAPTER Radian Measure 3.

Circumference and Area of Circles Math 7. Vocabulary circle centerA circle is a set of points in a plane that are the same distance from a given point,

Motion. Objectives Define motion. Calculate the speed of a moving object. Distinguish between velocity and acceleration.

TICK TOCK, TICK TOCK, TICK TOCK DO NOW: WHAT ARE THE TWO MEANINGS OF THE WORD “TIME” IN PHYSICS?

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

January 31st, 2013 Homework: Worksheet on area and circumference Do Now: 1. A circle has a diameter of 31 cm. What is the area of the circle? Round if.

X = 3y = 4z = 8 2x Step 1X = 3 Step 22(3) 2 – 6 2 Step 4 2(9) – 6 2Step 3 18 – 12 =6.

Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

Name these Features The distance from the center to the edge The distance from one side to the other passing through the center The distance all of the.

All About Circles 1-6 AQR. Activity: For this activity your team should get 4 circles of different sizes, and a yard stick. (You will also need a ruler.

Arcs and Circles Jeopardy 1.You must record each question and answer on a separate sheet of paper 2.Each group will have an answerer, calculatorer, and.

AREA OF A CIRCLE Learning Target 4: I can solve problems using area and circumference of a circle.

Finding Circumference for 4 th and 5 th Grade By Andrea Klee.

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator.

Opener Simplify or Solve: 1. x + 3(x – 6) 2. 4x + 5 = (3 + x)y + x² + 2xy 4. 6(x + 2) + 4x x + x – 6 = 3 6. –(x + 7) = -3.

Area & Perimeter Circumference of a Circle Grade 3.

Do Now:. Circumference What is circumference? Circumference is the distance around a circle.

Unit 4: CIRCLES Topic 11: C IRCLE M EASUREMENTS Topic 12: T HEOREMS A BOUT C IRCLE.

OBJ: SWBAT USE THE FORMULA FOR CIRCUMFERENCE, USE ARC LENGTHS TO FIND MEASURES AND SOLVE REAL-LIFE PROBLEMS Circumference and Arc Length.

Seventh Grade Geometry Unit 5. Standard CC.7.G.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an.

PIB Geometry 11-5: Circumference and Area of Circles.

Robo-Math How Far? The Distance a Robot Travels in One Rotation of the Motor = The Circumference of the Wheel Circumference (of the Wheel) = Diameter (of.

Introductory Presentation

Introductory Presentation

When fitting a cycle computer, you have to type in the wheel circumference. This helps the computer to work out how far you have travelled. What this video.

Introductory Presentation

Area and Circumference of a Circle

The 3 formulas for Speed, Time & Distance:

Introductory Presentation

Mechanical Advantage Simple Machines.

Lesson 6-1 Circles Obj: I can find the circumference and area of circles HWK: p all, even, 23 Vocab: 1) circle 2) radius 3) diameter 4)

Section 11.4 Circumference and Arc Length Theorem

Lesson 6-1 Circles Obj: I can find the circumference and area of circles HWK: p all, even, 23 Vocab: 1) circle 2) radius 3) diameter 4)

Repeating Behaviors.

11.1: Circumference and Arc Length

Wheels and Distance.

NOTES 10.9 Circumference and Arc Lengths.

11.4 Circumference and Arc Length

Logic puzzle Lessons 39 and 40 worktime

Presentation transcript:

The Wheels on the Bus Go Round and Round

Wheels Suppose we know the diameter, d, of a tire… what other properties of the tire can we compute? The radius is r=d/2 The circumference is The area is Let’s Look More Closely at this

Motion of a wheel Question: When a wheel rolls along the ground, how can we relate how far it goes to how many turns it makes?

Motion of a Wheel (another way of looking at it) Question: What distance does a wheel travel in one turn? Answer: The distance traveled in one turn is equal to the circumference of the tire!

Thought Experiment Suppose you are riding a bike with a tire radius of 15 inches and your friend’s bike’s tire radius is 19 inches. If you are going on a one mile bike ride together, whose wheels will make more turns?

Thought Experiment Explain how you would calculate the number of turns required for each bike to travel one mile (Hint: how many feet are in a mile?) Make a prediction about the number of turns required for each bike Do the calculations and see if your prediction was close!

Who makes the most turns? Let’s each calculate how many turns the wheels on our dream car would make in order to take us from the Clarkson campus to Great Escape.

Who makes the most turns? Here is a link with tire information! Search by the year, make, and model of your ‘dream car’ and choose a tire. Be sure to record the radius!tire information

Who makes the most turns If the distance from the Clarkson campus to Great Escape is 144 miles, how many turns would the wheels of your dream car make Compare your results. Who makes the most turns?