WJEC A-Level Physics 1420QS
Basic Physics
Kinematics
Dynamics
Energy Concepts
Solids Under Stress
Using Radiation to Investigate Stars
Particles and Nuclear Structure
Conduction of Electricity
Resistance
D.C. Circuits
The Nature of Waves
Wave Properties
Refraction of Light
Photons
Lasers
Circular Motion
Vibrations
Kinetic Theory
Thermal Physics
Nuclear Decay
Nuclear Energy
Capacitance
Electrostatic and Gravitational Fields of Force
Orbits and the Wider Universe
Magnetic Fields
Electromagnetic Induction
Option A: Alternating CurrentsOption A
Option B: Medical PhysicsOption B
Option C: The Physics of SportsOption C
Option D: Energy and the EnvironmentOption D
Mathematical Requirements (Appendix C)
Circular Motion
Vertical circular motion
- 3 things to know
- A2 Unit 3
Overview
Recall questions on Vertical circular motion.
What you need to know
Answer each one before you reveal it.
Which forces provide the centripetal force on a ball at the top of a vertical circle on the end of a string?
Write the equation relating the forces on a ball at the lowest point of a vertical circle to its centripetal acceleration.
Questions from this subtopic
Each one with the model answer underneath.
- 1
Which forces provide the centripetal force on a ball at the top of a vertical circle on the end of a string?
Model answer
The tension in the string and the weight of the ball both act downwards towards the centre of the circle, and together they provide the centripetal force.
- 2
Write the equation relating the forces on a ball at the top of a vertical circle to its centripetal acceleration.
Model answer
T + mg = mv²/r, where T is the tension in newtons, m the mass in kilograms, v the speed in m s⁻¹ and r the radius in metres.
- 3
Write the equation relating the forces on a ball at the lowest point of a vertical circle to its centripetal acceleration.
Model answer
T − mg = mv²/r, because the weight now acts away from the centre while the tension acts towards it.
- 4
At which point of a vertical circle is the tension in the string greatest, and why?
Model answer
It is greatest at the lowest point, because there the tension must both support the weight of the ball and supply the whole of the centripetal force.
- 5
Derive an expression for the minimum speed at the top of a vertical circle if the string is to stay taut.
Model answer
The limiting case is zero tension, so the weight alone provides the centripetal force and mg = mv²/r. The minimum speed is therefore v = √(gr).
- 6
Calculate the minimum speed at the top of a vertical circle of radius 0.80 m for a ball on a string to keep the string taut, taking g as 9.81 m s⁻².
Model answer
The minimum speed is √(9.81 × 0.80) = 2.80 m s⁻¹.
Other ways to work this
The same content, four other ways.
What is inside Levo
Six ways to work the same material.
Every question in Circular Motion, on a schedule.
Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.
Or £46 a year, about £3.83 a month. Cancel anytime.