Rotational MotionHard

Question

The radius of a wheel of a car is 0.4m. The car is accelerated from rest by an angular acceleration of 1.5 rad/s2 for 20s. The linear velocity of the wheel is    

Options

A.10 m/s
B.3 m/s
C.12 m/s
D.2 m/s

Solution

v = rω, a = rα ∴ α = 0.4 × 1.5 ⇒ α = 0.6
v = at = 0.6 × 20 (t = 20sec.) ⇒ v = 12

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