subject

Circular Motion

Physics ⇒ Mechanics

Circular Motion starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Circular Motion. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
A 0.1 kg mass is attached to a string and whirled in a vertical circle of radius 0.4 m. What is the minimum speed at the top of the circle to keep the string taut? (Take g = 9.8 m/s²)
A 0.2 kg ball is attached to a 0.5 m string and swung in a horizontal circle at 3 m/s. What is the angular velocity of the ball?
A 2 kg object is moving in a circle of radius 0.5 m at an angular speed of 4 rad/s. Calculate the centripetal force.
A 500 g mass is swung in a horizontal circle of radius 1.2 m at a speed of 6 m/s. Calculate the required centripetal force.
A car of mass 1000 kg moves at a constant speed of 20 m/s around a circular track of radius 50 m. Calculate the magnitude of the centripetal force acting on the car.
A particle moves in a circle of radius 0.25 m with a frequency of 10 Hz. What is its angular velocity?
A particle moves in a circle of radius 10 cm with a constant speed of 2 m/s. Find its frequency of revolution.
A satellite orbits Earth in a circular path of radius 7000 km. If its speed is 7.5 km/s, calculate its period of revolution.
A stone tied to a string is whirled in a horizontal circle of radius 2 m at a speed of 4 m/s. What is the tension in the string if the mass of the stone is 0.5 kg?
Describe the difference between uniform and non-uniform circular motion.
Explain why an object moving in a circle at constant speed is said to be accelerating.
Explain why passengers feel pushed outward when a car turns sharply, even though the actual force acts towards the center.
State the direction of velocity and acceleration vectors for a particle in uniform circular motion at any instant.
State the formula for centripetal acceleration in terms of speed v and radius r.
A 0.3 kg mass is attached to a string and swung in a horizontal circle of radius 0.6 m. If the string can withstand a maximum tension of 20 N before breaking, what is the maximum speed at which the mass can be swung?
A 1.5 kg object is attached to a light, inextensible string and is rotated in a vertical circle of radius 0.8 m. If the speed of the object at the lowest point is 6 m/s, calculate the tension in the string at that point. (Take g = 9.8 m/s2.)
A car of mass 1200 kg is taking a turn of radius 30 m on a flat road. If the coefficient of static friction between the tires and the road is 0.5, what is the maximum speed at which the car can take the turn without skidding? (Take g = 9.8 m/s2.)
A disc rotates from rest with a constant angular acceleration of 2 rad/s2. What is the angular velocity after completing 5 revolutions? (Use π = 3.14)
A particle moves in a circle of radius r with a constant angular acceleration α. If its initial angular velocity is ω0, derive the expression for the angular displacement θ after time t.
A satellite is in a stable circular orbit around a planet of mass M and radius R at a height h above the surface. Derive the expression for the orbital speed of the satellite in terms of G, M, R, and h.