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Radian and Degree Conversion Quiz for Grade 11 Physics

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Radian and Degree Conversion Quiz for Grade 11 Physics

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Questions and Answers

What is the definition of a radian?

A radian is 1/3 of a revolution

A radian is the ratio of the circumference of a circle to its diameter

A radian is the ratio of the circumference of a circle to its radius (correct)

A radian is the ratio of the diameter of a circle to its circumference

How is angular displacement defined?

Angular displacement is the angle in radians through which a point revolves around a center (correct)

Angular displacement is the distance traveled by a point along the circumference of a circle

Angular displacement is the angle in degrees through which a point revolves around a center

Angular displacement is the time taken for a point to complete one revolution

What is the relationship between 360 degrees and radians?

360 degrees = $\frac{\pi}{2}$ radians

360 degrees = $2\pi$ radians (correct)

360 degrees = $3\pi$ radians

360 degrees = $\pi$ radians

Which motion direction is considered positive in rotational motion?

<p>Counterclockwise motion</p> Signup and view all the answers

How is angular velocity defined?

<p>Angular velocity is angular displacement divided by time</p> Signup and view all the answers

Study Notes

Angular Measurement

A radian is a unit of angular measurement defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

Angular Displacement

Angular displacement is the angle through which an object rotates from its initial to its final position.

Degree-Radian Relationship

There is a fixed relationship between degrees and radians: 360 degrees is equivalent to 2π radians.

Direction of Rotational Motion

In rotational motion, counterclockwise motion is considered positive, while clockwise motion is considered negative.

Angular Velocity

Angular velocity is the rate of change of angular displacement with respect to time, measured in radians per second (rad/s).

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Description

This quiz focuses on the topic of rotational motion in physics, specifically delving into defining a radian and converting between degrees and radians. It is designed for Grade 11 students studying physics and aims to assess their understanding of this fundamental concept.