Question

15. A wheel initially rotating at 2rad/s accelerates at 3.5rad/s2 for 2sec. Through what angle does the wheel rotate during 2s? A. 11rad B.8rad C. 5rad. D. 3rad

Answer 1

Use θ = ω0 t + 1/2 α t^2.

ω0 = 2 rad/s, α = 3.5 rad/s^2, t = 2 s:

θ = 2(2) + 0.5(3.5)(2^2) = 4 + 0.5·3.5·4 = 4 + 7 = 11 rad.

Answer: A. 11 rad.