An automobile tire with a radius of 0.30 m starts at rest and accelerates at a constant angular acceleration of 2.0 rad/s^2 for 7.0 s. What is the angular displacement of the tire? A. 32 rad
B. 25 rad
C. 28 rad
D. 49 rad

The tire undergoes an angular displacement θ in time t according to

θ = θ₀ + ω₀ t + 1/2 α t ²

where

θ₀ = initial angular displacement

ω₀ = init. ang. velocity

α = ang. acceleration

Here we have θ₀ = 0 and ω₀, so after t = 7.0 s with acceleration α = 2.0 rad/s², the wheel will have been displaced

θ = 1/2 (2.0 rad/s²) (7.0 s)² = 49 rad

making the answer D.

their crystal patterns have been disrupted by stress

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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