Circular Motion
Q. A cyclist is negotiating a circular track of radius 30 m. If the cyclist's speed is 15 m/s, what is the net force acting on the cyclist towards the center of the track?
Q. A cyclist is negotiating a circular track of radius 30 m. If the cyclist's speed is 15 m/s, what is the net force acting on the cyclist if the mass of the cyclist is 60 kg?
Q. A cyclist is negotiating a circular turn of radius 30 m at a speed of 15 m/s. What is the minimum coefficient of friction required to prevent slipping?
Q. A mass m is attached to a string and is whirled in a horizontal circle. If the radius of the circle is halved, what happens to the tension in the string if the speed remains constant?
Q. A mass m is attached to a string and is whirled in a vertical circle. At the highest point of the circle, what is the minimum speed required to keep the mass in circular motion?
Q. A mass m is attached to a string and is whirled in a vertical circle. At the highest point of the circle, the tension in the string is T. What is the expression for T?
Q. A mass m is attached to a string and is whirled in a vertical circle. At the highest point of the circle, what is the condition for the mass to just complete the circular motion?
Q. A mass m is attached to a string and is whirled in a vertical circle. At the top of the circle, the tension in the string is T. What is the expression for the tension at the bottom of the circle?
Q. A mass m is attached to a string of length L and is swung in a vertical circle. At the highest point of the circle, what is the minimum speed required to keep the mass in circular motion?
Q. A particle moves in a circle of radius 3 m with a speed of 6 m/s. What is the angular velocity of the particle?
Q. A particle moves in a circular path of radius 10 m with a constant speed of 5 m/s. What is the period of the motion?
Q. A particle moves in a circular path of radius 10 m with a speed of 5 m/s. What is the time period of the motion?
Q. A particle moves in a circular path of radius 5 m with a constant speed of 10 m/s. What is the centripetal acceleration of the particle?
Q. A particle moves in a circular path of radius r with a constant angular acceleration α. What is the expression for the angular displacement θ after time t?
Q. A particle moves in a circular path of radius r with a constant angular speed ω. What is the time period of the motion?
Q. A particle moves in a circular path with a constant speed. Which of the following statements is true?
Q. A particle moves in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is the linear speed of the particle?
Q. A particle moves in a circular path with a radius of 10 m at a constant speed of 5 m/s. What is the period of the motion?
Q. A particle moves in a circular path with a radius of 15 m and completes one revolution in 10 seconds. What is the linear speed of the particle?
Q. A particle moves in a circular path with a radius of 2 m and completes one revolution in 4 seconds. What is the linear speed of the particle?
Q. A particle moves in a circular path with a radius of 4 m and completes one revolution in 8 seconds. What is the centripetal acceleration?
Q. A satellite is in a circular orbit around the Earth. If the radius of the orbit is tripled, how does the orbital speed change?
Q. A satellite is in a circular orbit around the Earth. If the radius of the orbit is doubled, what happens to the gravitational force acting on the satellite?
Q. A satellite is in a circular orbit around the Earth. If the radius of the orbit is increased, what happens to the orbital speed of the satellite?
Q. A satellite is in a circular orbit around the Earth. If the radius of the orbit is 7000 km and the gravitational acceleration is 9.8 m/s², what is the speed of the satellite?
Q. A satellite is in a circular orbit around the Earth. If the radius of the orbit is 7000 km and the speed of the satellite is 7.9 km/s, what is the centripetal acceleration?
Q. A stone is thrown in a circular path with a radius of 3 m. If the stone completes 4 revolutions in 8 seconds, what is the angular speed?
Q. A stone is tied to a string and swung in a vertical circle. At the highest point, the tension in the string is 5 N and the weight of the stone is 10 N. What is the speed of the stone at the highest point if the radius of the circle is 2 m?
Q. A stone is tied to a string and whirled in a horizontal circle. If the radius of the circle is doubled, what happens to the centripetal force required to maintain the circular motion at the same speed?
Q. A stone is tied to a string and whirled in a horizontal circle. If the radius of the circle is doubled, what happens to the centripetal force required to keep the stone moving in a circle at the same speed?
