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A 2kg ball rotates on the end of a 1.4m long string. The ball makes 5 revolutions in 4.4s. What is the speed of the ball?

Group of answer choices

a) .88m/s

b) 8.79m/s

c) 9.93m/s

d) 1.99m/s

Respuesta :

The speed or the linear velocity of the stone is 9.93 m/s; option C

What is the speed or linear velocity of the stone?

The linear velocity of the stone is given by the formula below:

  • v = wr

where w is angular velocity and r is radius.

w = θ/t

1 complete revolution = 2π radians

5 revolutions = 10π radians

w =  10π/4.4 rad/s

v = 10π/4.4 rad/s * 1.4

v = 9.93 m/s

In conclusion, the linear velocity is obtained from the angular velocity and radius of the string.

Learn more about linear and angular velocity at: https://brainly.com/question/15154527

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