Question

Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s². The bicycle wheels are 34.5 cm in radius.

(a)What is the magnitude of the bicycle's linear acceleration (in m/s²)?

_______ m/s²

(b)What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 11.6 m/s?

_____ rad/s

(c)How many radians have the wheels turned through in that time?

______rad

d. How far (in m) has the bicycle traveled in that time?

_____ m

A digital audio compact disc carries data along a continuous spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 µm of the track. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.45 m/s.

(a) Find the required angular speed at the beginning of the recording where the spiral has a radius of 2.30 cm. (Enter your answer to at least one decimal place.)
________ rad/s

(b) Find the required angular speed at the end of the recording, where the spiral has a radius of 5.55 cm. (Enter your answer to at least one decimal place.)
_____rad/s

(c) A full-length recording lasts for 62 min, 33 s. Find the average angular acceleration of the disc.
______rad/s²

(d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays.
_____rad

(e) Find the total length of the track.

Answer 1

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