Classical Mechanics

Angular Kinematics

Linear and Angular Measurements

         

A car moves along a circular track with radius r=40 m. r= 40 \text{ m}. Find the travel distance of the car when the car travels 4 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 ri=30 m, r_i = 30 \text{ m}, and John is in the outer lane of radius ro=45 m. r_o = 45 \text{ m}. If Jack's angular speed is ω1=0.3 s1, \omega_1 = 0.3 \text{ s}^{-1}, what is the angular speed of John?

A man is jogging along a circular track with perimeter r1=160 m, r_1 = 160 \text{ m}, and it takes t1=47 s t_1 = 47 \text{ s} for him to jog around the track. If the same man jogs along a bigger track with perimeter r2=320 m 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 m, 22 \text{ m}, and John is on the outer lane which has radius 30 m. 30 \text{ m}. If the speed of Jack is 11 m/s, 11 \text{ m/s}, what is the speed of John?

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

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