a 0.650-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string. if the angular speed at the bottom is 8.00 rad/s, what is the tension in the string when the object is at the bottom of the circle?



Answer :

The tension in the string = 83.2 N

What is tension?

Tension is defined as the pulling force transmitted axially by using a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar 3-D object; tension might also be expressed as the action-reaction pair of forces acting at each end of said elements. Tension is the opposite of compression. All objects in contact with each other exert forces on each other. The best example of pulling force is seen when pulling on a rope. When a pulling force is applied to a rope, it creates considerable tension.

Given,

Mass of object (m) = 0.650kg

Radius of object (r) =  0.5 m

Angular speed (ω) = 8.00 rad/s

T = mω²/r

T = 0.65 × 8²/0.5

T = 83.2 N

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