Question

A beetle sits at the top of a bicycle wheel and flies away just before it would be squashed. Assuming that the wheel turns clockwise, the beetle’s angular displacement is π rad, which corresponds to an arc length of 1.2 m. What is the wheel’s radius?

Answer 1

Answer:

$r =0.382\ m$

Explanation:

given,

beetle angular displacement, θ = π rad

Arc length of the wheel, l = 1.2 m

wheel radius = ?

arc length = θ r

where r is the wheel radius

now,

θ r = 1.2

where as, θ = π

π  r = 1.2

$r =\dfrac{1.2}{\pi}$

$r =0.382\ m$

Hence, the radius of the wheel is equal to 0.382 m.