An insect moves in a circular path of radius 20πcm steadily, and completes 25 revolutions in 100s. What is the average angular speed and the average linear speed of the motion ?
A
π2rad/s,1m/s
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B
π2rad/s,0.1m/s
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C
πrad/s,0.1m/s
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D
πrad/s,1m/s
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Solution
The correct option is Bπ2rad/s,0.1m/s Average angular speed ¯¯¯ω=ΔθΔt=25×2π100=π2rad/s Average linear speed ¯¯¯v=¯¯¯ωR=π2×20π=10cm/s =0.1m/s