To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed

Answers

Answer 1

The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

What is force?

Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.

To find the minimum force needed to tighten the loose screw, we can use the equation:

F = T / r

where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).

We need to convert the length of the wrench from cm to meters before calculating the force:

r = 30 cm / 100 cm/m = 0.3 m

Now we can plug in the values into the equation and find the force:

F = 90 N.m / 0.3 m = 300 N

So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

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