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a 3030 cm wrench is used to loosen a bolt with a force applied 0.30.3 m from the bolt. it takes 6060 nn to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 3030 degree angle from perpendicular?

Sagot :

The force required is 69 N at the given angle, perpendicularly, by using the formula of Torque, to loosen the bolt.

What is Torque?

The rotational counterpart of linear force is torque. Depending on the subject of study, it is also known as the moment, moment of force, rotating force, or turning effect. It depicts how a force can cause a change in the body's rotational motion.

What is Force?

An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Calculations:

Given,

Force = 60N

Angle = 30°

Radius = 0.3m

The torque required to loosen the bolt = Torque = r * F

            = 0.3 * 60

            = 1.8Nm

To obtain the same torque but with a 30° angle

Torque = F ( 0.3 * cos 30)

1.8Nm =  F ( 0.3 * cos 30)

F = 1.8Nm/ F ( 0.3 * cos 30)

F= 69N.

Hence, the force required is 69 N at the given angle, perpendicularly.

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