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A basketball held still is spun on an athletes finger until it reaches a top speed of 16 rad/sec. If the rotational acceleration is 3 rad/ s then how long does it take for the basketball to spin 15 times?

Respuesta :

MathPhys

Answer:

7.9 s

Explanation:

Given:

Δθ = 15 rev = 30π rad

ω₀ = 0 rad/s

α = 3 rad/s²

Find: t

Δθ = ω₀ t + ½ αt²

30π = (0) t + ½ (3) t²

t² = 20π

t = 7.9 s

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