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3 years ago

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A ball is tied to a 1.3 m string and whirled in a circular motion with a force of 220 N. If its speed is 6 m/s, (a) what is it c

entripetal acceleration? (b) What is the mass of the ball?

1 answer:

Studentka2010 [4]3 years ago

6 0

The centripetal acceleration is 27.692 kg m / s^2.

The mass of the ball is 7.94 kg.

<u>Explanation:</u>

The curved path of an object experience a force known as centripetal force. Its direction is always pointing to the motion of the body towards the center of curvature of the path.

centripetal force Fc = (mass * square of velocity) / radius

where m represents mass in kg

v represents velocity

r represents radius in a meter.

The acceleration experienced in uniform circular motion is called as centripetal acceleration.It always points toward the center of rotation and is perpendicular to the linear velocity.

centripetal acceleration = v^2 / r

= (6 * 6) / 1.3

= 27.692 kg m / s^2.

The mass of the ball is found by using the centripetal force formula,

centripetal force Fc = m v^2 / r

m = (F * r) / v^2

= (220 * 1.3) / 36

mass of the ball m = 7.94 kg.

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Part c)

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Part d)

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$\theta_i = 33.7 degree$

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Part g)

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