What is the work done when a force of 4 N is applied to a rotate a bolt by 720 degrees using a wrench that is 1 m long.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

A wrench that is one meter long is used to apply a force of 4N to turn a bolt by an angle of 720 degrees.

The torque applied by the wrench on the bolt is equal to the product of the force applied and the length of the wrench. T...

See
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Get 48 Hours Free Access

A wrench that is one meter long is used to apply a force of 4N to turn a bolt by an angle of 720 degrees.

The torque applied by the wrench on the bolt is equal to the product of the force applied and the length of the wrench. T = 1*4 = 4 Nm. The work done is equal to the product of the torque (T) and the angular displacement (D). The bolt rotates by an angle equal to 720 degrees. The angular displacement has to be converted to radians. 2*pi radians is equal to 360 degrees. 720 degrees is equal to 4*pi radians.

This gives the work done as 4*4*pi = 16*pi = 50.26 J

Approved by eNotes Editorial Team