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A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first
A grindstone, initially at rest, is given a constant angular acceleration so that it makes 20.0 rev in the first 8.00 s. What is its angular acceleration?
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Koala Tutor
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First, we need to convert the revolutions to radians. There are 2π radians in one revolution, so 20 revolutions is 20*2π = 40π radians.
The formula for angular displacement in terms of angular acceleration is θ = 0.5*α*t^2, where θ is the angular displacement, α is the angular acceleration, and t is the time.
We can rearrange this formula to solve for α: α = 2*θ/t^2.
Substituting the given values, we get α = 2*40π/8^2 = 5π rad/s^2.
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