A torque of 20.0 N·m is applied to a bolt. The bolt rotates through an angle of 180 degrees. The work done in turning the bolt is
Question
A torque of 20.0 N·m is applied to a bolt. The bolt rotates through an angle of 180 degrees. The work done in turning the bolt is
Solution
The work done on an object by a torque τ turning through an angle θ, in the absence of friction, is given by the equation:
W = τ * θ
However, the angle must be in radians for this equation to work.
First, convert the degrees to radians. There are π radians in 180 degrees, so:
180 degrees = π radians
Next, substitute the given values into the equation:
W = 20.0 N·m * π radians = 20π Joules
So, the work done in turning the bolt is 20π Joules.
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