PHY131H1S - Class 8 Today: Circular Motion Rotation.

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Presentation transcript:

PHY131H1S - Class 8 Today: Circular Motion Rotation

Pre-class Reading Quiz. (Chapter 4)

Last day I asked at the end of class: You are driving North Highway 427, on the smoothly curving part that will join to the Westbound 401. Your speedometer is constant at 115 km/hr. Your steering wheel is not rotating, but it is turned to the left to follow the curve of the highway. Are you accelerating? ANSWER: If so, in what direction? ANSWER:

A car is traveling East at a constant speed of 100 km/hr. Without speeding up of slowing down, it is turning left, following the curve in the highway. N E S W

A carnival has a Ferris wheel where some seats are located halfway between the center and the outside rim.

A ball rolls along a frictionless track on a horizontal table, as seen from above in the figure. The track is curved in ¾ of a circle. The ball rolls clockwise around this track and then emerges onto the flat, frictionless table.

Satellites in orbit are accelerating toward the earth, so

Centripetal Acceleration A bike wheel of diameter 1.0 m turns 20 times per second. What is the magnitude of the centripetal acceleration of a yellow dot on the rim?

Nonuniform Circular Motion Any object traveling along a curved path has centripetal acceleration, equal to If, as it is traveling in a circle, it is speeding up or slowing down, it also has tangential acceleration, equal to The total acceleration is

Summary of definitions: θ is angular position. The S.I. Unit is s is the path length along the curve: when θ is in [rad]. ω is angular velocity. The S.I. Unit is v t is the tangential speed: when ω is in [rad/s]. α is angular acceleration. The S.I. Unit is a t is the tangential acceleration: when α is in [rad/s 2 ].

The fan blade is slowing down.

Before Class 9 on Monday Please read Chapter 5 of Knight. Something to think about: A paperback novel has a mass of 0.3 kg and slides at a constant velocity of 5 m/s, to the right. A physics textbook has a mass of 3.0 kg, and slides at a constant velocity of 5 m/s, to the right. How does the net force on the textbook compare to the net force on the novel?