Linear and Angular Measurements Practice Problems Online

A car moves along a circular track with radius $r= 40 \text{ m}.$ Find the travel distance of the car when the car travels $4$ rounds around track.

Jack and John are jogging along a circular track at the same speed in different lanes. Jack is running in the inner lane which has a radius of $r_i = 30 \text{ m},$ and John is in the outer lane of radius $r_o = 45 \text{ m}.$ If Jack's angular speed is $\omega_1 = 0.3 \text{ s}^{-1},$ what is the angular speed of John?

A man is jogging along a circular track with perimeter $r_1 = 160 \text{ m},$ and it takes $t_1 = 47 \text{ s}$ for him to jog around the track. If the same man jogs along a bigger track with perimeter $r_2 = 320 \text{ m}$ with the same speed, how long will it take for him to jog around it?

Jack and John are jogging together along a circle track with the same angular speed in different lanes. Jack is on the inner lane which has radius $22 \text{ m},$ and John is on the outer lane which has radius $30 \text{ m}.$ If the speed of Jack is $11 \text{ m/s},$ what is the speed of John?

A particle moves along a circle with radius $r= 2400 \text{ m}$ at a constant angular speed of $4 \text{ minutes}$ per round. What is the linear speed of the particle?

Concept Quizzes

Challenge Quizzes

Linear and Angular Measurements

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.