Question

Consider a point on a bicycle wheel as the wheel makes exactly four complete revolutions about a fixed axis. Compare the linear and angular displacement of the point.

a. both are zero
b. only the angular displacement is zero
c. only the linear displacement is zero
d. neither is zero

Answer 1

Answer:

Explanation:

Wheel completes four revolution.

The linear displacement is zero.

The angular displacement is 4 x 2π = 8π radian.

So, option (c) is correct.

Answer 2

Comparing the angular and linear displacement, only the linear displacement is zero.

The given parameters;

• number of rotations of the wheel, N = 4

The angular displacement is calculated as follows;

$\theta = 4 \ rev \times \frac{2\pi \ rad}{rev} \\\\\theta = 8\pi \ radian$

The linear displacement is the change in final position and initial position of the bicycle wheel.

Since the bicycle makes a complete turn, the change in position is zero.

Δx = 0

Thus, we can conclude that the only the linear displacement is zero.

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