86.
A bolt connecting the main and rear frame of a mountain bike requires a torque of 15Nm
to tighten. If you are capable of applying 40 N of force to a wrench in any given direction
what is the minimum length of the wrench that will result in the required torque?
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Given:
- Torque = 15 Nm
- Force = 40 N
To Find:
- The minimum length of the wrench(displacement)
Solution:
The formula of torque is given as,
Torque = force × displacement → {equation 1}
On substituting the given values in equation 1 we get,
⇒ 15 = 40 × displacement
Rearranging the above formula in terms of displacement
⇒ displacement = 15/40 {dividing the terms}
⇒ displacement = 3/8 m or 0.375 m {dividing the terms}
∴ The minimum length of the wrench should be 0.375 m
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