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a 30.8-kg child swings on a rope with a length of 6.29 m that is hanging from a tree. at the bottom of the swing, the child is moving at a speed of 4.2 m/s. what is the tension in the rope?

Answer :

ONYEBUCHINNAJIGO

The tension in the rope at the lower part of the swing is 388.2 N.

What is the tension in the rope?

The tension in the rope at the lower part of the swing is calculated by applying the following formula.

T = W + Fc

where;

  • W is the weight of the child
  • Fc is the centripetal force of the swing

T = mg + mac

T = m (g + ac)

T = m (g + v²/r)

where;

  • m is the mass of the child
  • g is acceleration due to gravity
  • ac is the centripetal acceleration
  • r is the radius of the circular path

The magnitude of the tension in the ropes is calculated as;

T = 30.8 (9.8  +  4.2²/6.29)

T = 388.2 N

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