If the wheel then slows to rest in 9.46 s while making a quarter turn, calculate the magnitude of its average angular speed during that time.

0.16 rad /s

Explanation:

Given that :

Time, t = 9.46 s

Quarter turn = 1/4 rev

θ = wt

w = angular speed `. ; t = time in second

1 rev = 2 pi

θ = 2pi

1/4 θ = 1/4 * 2pi = pi/2

θ = wt

pi/2 = w * 9.62

3.14 = w * 9.62 * 2

3.14 = 19.24w

w = 3.14 / 19.24

w = 0.1602040

w = 0.16 rad /s

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