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11 Questions

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Circular Motion MCQ 1

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Questions and Answers

What is the relationship between degrees and radians?

1 degree = π/180 radians (correct)

1 degree = 180π radians

1 degree = π radians

1 degree = 2π radians

What is the formula for linear velocity in circular motion?

v = ωs

v = ω + r

v = ω/r (correct)

v = r/ω

What is the unit of angular velocity?

degrees per second (°/s)

newton (N)

meters per second (m/s)

radians per second (rad/s) (correct)

What does centripetal acceleration represent?

Acceleration directed toward the center of the circle Signup and view all the answers

What is the formula for centripetal force?

Answers A and C Signup and view all the answers

What does angular velocity represent in circular motion?

The change in angle per unit time Signup and view all the answers

What quantity does the period of an object's motion represent?

Time taken for one revolution Signup and view all the answers

What happens to an object's velocity in uniform circular motion?

Remains constant in magnitude but changes direction Signup and view all the answers

What does centripetal acceleration provide for an object in circular motion?

It provides the force that causes the object to move in a circle. Signup and view all the answers

What is the formula to convert from degrees to radians?

Multiply by $\frac{\pi}{180}$ Signup and view all the answers

What is the SI unit for centripetal acceleration?

$m s^{-2}$ Signup and view all the answers

Study Notes

Angle Measurements

Angles are measured in both degrees and radians
1° = 1/360 of a full circle
To convert from degrees to radians, multiply by π/180

Linear Velocity

Linear velocity (v) is the speed of a particle in a direction perpendicular to the radius at that point
v = ωr
Unit of linear velocity: ms-1

Angular Velocity

Angular velocity (ω) is the rate of change of angle with respect to time
ω = θ/t
Unit of angular velocity: rad/s

Periodic Time

Periodic time (T) is the time taken for one complete revolution, cycle or oscillation
T = 2πr/v
T = 2π/ω
Unit of periodic time: seconds (s)

Centripetal Acceleration

Centripetal acceleration is the acceleration of an object traveling in uniform circular motion
It is directed towards the centre of the circle
Vector quantity with unit: m/s²

Centripetal and Centrifugal Forces

Centripetal force is the force required to maintain uniform circular motion
It is directed towards the centre of the circle
Vector quantity with unit: newton (N)
Centrifugal force is the force outward due to an object moving in circular motion
The centripetal force is balanced by a reaction force, the centrifugal force

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Description

This quiz covers conversions between degrees and radians, as well as formulas for calculating angle in radians, linear velocity, and angular velocity in circular motion. Test your understanding of arc length and radius relationships, linear velocity calculations, and angular velocity concepts.