1. A 200g of mass is moving with uniform angular velocity in a circle of radius 80 cm on a smooth horizontal surface. If the mass completes 10 revolutions in one second, calculate : a) Angular speod in rad s. JAnswer : 62.83 rads l b) Lincar speed around the circular path. [Answer : 50.26 ms')

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SPO15: TUTORIAL CHAPTER 6
Subjective Questions
1. A 200g of mass is moving with uniform angular velocity in a circle of radius 80 cm on a
smooth horizontal surface. If the mass completes 10 revolutions in one second, calculate:
a) Angular specd in rad s. JAnswer : 62.83 radsI
b) Lincar speed around the circular path. JAnswer : 50.26 ms')
2. A particle is moving on a circular path of a diameter 1.0 m at a constant speed of 10 ms.
Find the time taken to complete 20 revolutions. [Answer : 6.28 s]
3. What is the centripetal acceleration of a particle at a constant speed of 2.5 ms' which rotates
at 3 000 revolutions per minute? [Answer: 785.4 ms
4. The astronaut orbiting the Earth is preparing to dock with Westar VI satellite. The satellite
is in a circular orbit 600 km above the Earth's surface, where the free fall acceleration
(centripetal acceleration) is 8.21 m s2. Take the radius of the Earth as 6400 km. Determine
a) The speed of the satellite. [Answer : 7580.9 ms
b) The time interval required to complete one circular orbit. [Answer : 5801.7 s]
5. If an object of mass 3.5 kg is traveling in circular path with a radius of 3.14 m at a speed of
3.46 m/s, what will be the centripetal force on that object? [Answer: 13.34 N]
6. A ball of mass 150 g is attached to one end of a string 1.10 m long. The ball makes 2.00
revolution per second in a horizontal circle.
a) Sketch the free body diagram for the ball.
b) Determine :
i)
the centripetal acceleration of the ball. [Answer : 173.63 ms
the magnitude of the tension in the string. [Answer : 26.04 NJ
ii)
7. A ball of mass 0.35 kg is attached to the end of a horizontal cord and is rotated in a circle
of radius 1.0 m on a frictionless horizontal surface. If the cord break when the tension in it
exceeds 80 N, determine
a) The maximum speed of the ball, [Answer : 15.12 ms
b) The minimum period of the ball. [Answer: 0.416 s]
8. A car of mass 2000 kg rounds a circular turn of radius 20 m. The road is flat and the
coefficient of friction between tires and the road is 0.70. Sketch a free body diagram of the
car and determine the maximum speed of the car can have to make the turm succesfully.
JAnswer: 11.72 ms']
Transcribed Image Text:SPO15: TUTORIAL CHAPTER 6 Subjective Questions 1. A 200g of mass is moving with uniform angular velocity in a circle of radius 80 cm on a smooth horizontal surface. If the mass completes 10 revolutions in one second, calculate: a) Angular specd in rad s. JAnswer : 62.83 radsI b) Lincar speed around the circular path. JAnswer : 50.26 ms') 2. A particle is moving on a circular path of a diameter 1.0 m at a constant speed of 10 ms. Find the time taken to complete 20 revolutions. [Answer : 6.28 s] 3. What is the centripetal acceleration of a particle at a constant speed of 2.5 ms' which rotates at 3 000 revolutions per minute? [Answer: 785.4 ms 4. The astronaut orbiting the Earth is preparing to dock with Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth's surface, where the free fall acceleration (centripetal acceleration) is 8.21 m s2. Take the radius of the Earth as 6400 km. Determine a) The speed of the satellite. [Answer : 7580.9 ms b) The time interval required to complete one circular orbit. [Answer : 5801.7 s] 5. If an object of mass 3.5 kg is traveling in circular path with a radius of 3.14 m at a speed of 3.46 m/s, what will be the centripetal force on that object? [Answer: 13.34 N] 6. A ball of mass 150 g is attached to one end of a string 1.10 m long. The ball makes 2.00 revolution per second in a horizontal circle. a) Sketch the free body diagram for the ball. b) Determine : i) the centripetal acceleration of the ball. [Answer : 173.63 ms the magnitude of the tension in the string. [Answer : 26.04 NJ ii) 7. A ball of mass 0.35 kg is attached to the end of a horizontal cord and is rotated in a circle of radius 1.0 m on a frictionless horizontal surface. If the cord break when the tension in it exceeds 80 N, determine a) The maximum speed of the ball, [Answer : 15.12 ms b) The minimum period of the ball. [Answer: 0.416 s] 8. A car of mass 2000 kg rounds a circular turn of radius 20 m. The road is flat and the coefficient of friction between tires and the road is 0.70. Sketch a free body diagram of the car and determine the maximum speed of the car can have to make the turm succesfully. JAnswer: 11.72 ms']
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