How much work is done by tension?

In summary, the question asks about the amount of work done by the tension force when swinging a clicker on a string in a horizontal circle. The options are no work done, work equals tension force times radius, work equals tension force times diameter, and work equals tension force times circumference. The correct answer is D. This question is related to calculating the work of a force when the displacement encloses an angle with the force.
  • #1
layla2525
19
0

Homework Statement



Let's say I tie a string to a clicker and swing it in a horizontal circle around my head at constant speed. How much work is done by the tension force due to the string when it goes all the way around one full circle?

A. No work is done.

B. The work equals the tension force times the radius.

C. The work equals the tension force times the diameter.

D. The work equals the tension force times the circumference.

Homework Equations





The Attempt at a Solution



I am leaning towards D.
 
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  • #2
How do you calculate the work of a force F if the displacement D encloses an angle θ with the force?

ehild
 

1. How is tension defined in terms of work?

Tension is the force exerted by a stretched or compressed object, such as a rope or spring. In terms of work, tension represents the amount of force applied over a distance, resulting in the transfer of energy.

2. What factors affect the amount of work done by tension?

The amount of work done by tension can be affected by the magnitude of the force, the distance over which the force is applied, and the direction of the force relative to the displacement.

3. Is the work done by tension always positive?

No, the work done by tension can be either positive or negative. If the force and displacement are in the same direction, the work is positive. However, if the force and displacement are in opposite directions, the work is negative.

4. How is the work done by tension calculated?

The work done by tension can be calculated using the equation W = Fd cosθ, where W represents work, F represents the force, d represents the displacement, and θ represents the angle between the force and displacement vectors.

5. Can tension do work on an object without causing it to move?

Yes, tension can do work on an object without causing it to move if the force and displacement vectors are perpendicular to each other. In this case, the work done by tension would be zero, as cosθ would equal 0.

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