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Homework answers / question archive / Figure 1) shows the angular position of a potter's wheel
Figure 1) shows the angular position of a potter's wheel. Part A What is the angular displacement of the wheel between t = 5 s and t = 15 s? Express your answer in radians.
Part B What is the angular velocity of the wheel at 15 s? Express your answer in radians per second.
Part C What is the maximum speed of a point on the outside of the wheel 15 cm from the axle? Express
θ (rad) 75- 50 25 - 0 t (s) 0 5 10 15 20
Solution,
A)
d(theta) = 62.5 - 50 = 12.5 rad
B)
w = d(theta)/dt = - (75 - 50)/(20 - 10) = - 2.5 rad/sec
C)
w_max = (75 - 25)/(10 - 0) = 5 rad/sec
V_max = w_max x r = 5 x 0.15 = 0.75 m/s
