- 1). Suppose you want to find the number of revolutions of a wheel after 10 seconds. Suppose also that the torque applied to generate rotation is 0.5 radians per second-squared, and the initial angular velocity was zero.
- 2). Plug these numbers into the formula in the introduction and solve for θ(t). Use θ(0)=0 as the starting point, without loss of generality. Therefore, the equation θ(t) = θ(0)+ω(0)t+0.5αt^2 becomes θ(10) = 0 + 0 + 0.5x0.5x10^2 = 25 radians.
- 3). Divide θ(10) by 2π to convert the radians into revolutions. 25 radians / 2π = 39.79 revolutions.
- 4). Multiply by the radius of the wheel, if you also want to determine how far the wheel traveled.
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