Question

A bicycle travels 141 m along a circular track of radius 30 m. What is the angular displacement in radians of the bicycle from its starting position?

Answer 1

Answer: 4.7rad

Explanation:

Angular displacement =s/r

Where s=distance traveled

r=radius

Angular displacement =141m/30m

Angular displacement =4.7rad.

Answer 2

The angular displacement in radians of the bicycle from its starting position is 4.7 radians.

From the given information;

• the distance at which the bicycle travels = 141 m
• the radius of the circular path = 30 m

The angular displacement θ in a circular path can be expressed by using the equation:

$\mathbf{\theta = \dfrac{s}{r}}$

$\mathbf{\theta = \dfrac{141 }{30}}$

$\mathbf{\theta =4.7 \ radians}$

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