Radius = 5cm ? = 190 units Final constant velocity = 760 rad/s => Time consumed

Question

Radius = 5cm
? = 190 units
Final constant velocity = 760 rad/s
=> Time consumed to attain 760 rad/s = 760/190 = 4 secs
Hence Angle covered in 4 seconds = 1/2 * ? * 16 = 8 * 190 = 1520 radians
Hence angle covered in next 6 seconds = 760 * 6 = 4560 radians
Total angle covered in 10 seconds = 6080 rad
=> Number of revs = 6080/2? = 967.66 revs
? at t=3 = 570 rad/s
=> Cent. acc = ?^2 * r = 9747 m/s^2
Tangential acceleration = r ? = 190 * 3/100 = 5.7 m/s^2
At t=7, ? = 760
=> Cent. acc = ?^2 * r = 17328 m/s^2
t =7 sec , ? = 0
=> Tangential acceleration = r ? = 0

Explanation / Answer

a = r*

at 7 sec = 0

so a=0

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