Figure EX 4.20 shows the angular-position-versus- time graph for a particle movi

Question

Figure EX 4.20 shows the angular-position-versus- time graph for a particle moving in a circle. Write a description of the particle's motion. Draw the angular-velocity -versus-time graph. Figure EX 4.21show the angular-velocity-versus-time graph for a particle moving in a circle. How much revolutions does the object make during the first 4 s? Figure EX 4.22 shows the angular-velocity-versus-time graph for a particle moving in a circle, starting form theta_0 = 0 rad at t = 0 s. Draw the angular-position-versus-time graph. Include an appropriate scale on both axes. An old-fashioned single-play vinyl record rotates on a turn-table at 45 rpm. What are (a) the angular velocity in rad/s and (b) the period of the motion?

Explanation / Answer

angle covered for first 2 sec =10*2=20 radian

angle covered for last 2 sec=20*2=40 radian

total angle=20+40 =60 radian

for one cycle=2pi radian

total cycle=60/2pi=9.55 revolution

approx 10 revolution

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