Understanding Angular Displacement and Radians

Understanding Angular Displacement and Radians

Assessment

Interactive Video

Mathematics, Physics, Science

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

This video tutorial introduces the concept of circular motion, focusing on angular displacement and radians. It explains how an object moving from point A to B in a circle creates an angle, known as angular displacement, measured in radians. The tutorial covers the formula for angular displacement as arc length divided by radius and introduces the radian as a unit of angular measure. It also explains how to calculate radians, equating 360 degrees to 2 pi radians, and provides a method to find the value of one radian.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used for the angle through which an object moves around a circle's center?

Radial distance

Circumferential angle

Angular displacement

Linear displacement

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which unit is commonly used to measure angular displacement?

Seconds

Radians

Meters

Degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is angular displacement calculated?

Radius divided by arc length

Arc length divided by radius

Diameter divided by circumference

Circumference divided by diameter

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a radian?

The circumference of a circle

A measure of linear distance

The angle where arc length equals radius

A unit of time

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In terms of radians, what is the angular displacement of a full circle?

π radians

2π radians

180 radians

360 radians

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees are equivalent to 2π radians?

270 degrees

360 degrees

90 degrees

180 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of one radian in degrees?

57.3 degrees

45 degrees

180 degrees

90 degrees

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