What is the approximate needed length of the wrench to ensure that the man properly tightens the nut with the required torque of 40 N-m?
0.57 m is the approximate needed length of the wrench to ensure that the man properly tightens the nut with the required torque of 40 N-m. The right answer is b.
Calculating Torque and Wrench Length
To calculate the needed length of the wrench (r) to ensure that the man properly tightens the nut with the required torque, we can use the formula for torque:
Torque = Force × Distance
Given:
Torque (τ) = 40 N-m
Force (F) = 70 N
We need to solve for the distance (r):
τ = F × r
40 N-m = 70 N × r
Now, solve for r:
r = 40 N-m / 70 N
r = 0.571
The answer is approximately 0.571 m.
The correct answer is option b.