Chapter 9 homework Fall 2017) My Notes Ask Your Teacher 0 -4 points Tipler 9 P.0

Question

Chapter 9 homework Fall 2017) My Notes Ask Your Teacher 0 -4 points Tipler 9 P.067 soln A 1700-kg block is lifted at a constant speed of 14.0 cm/s by a steel cable that passes over a massless pulley to a motor-driven winch. The radius of the winch drum is 31 cm. m g (a) What is the magnitude of the force exerted by the cable? KN (b) What is the magnitude of the torque exerted by the cable on the winch drum? KN·m (c) What is the angular velocity of the winch drum? rad/s (d) What power must be developed by the motor to drive the winch drum? kw Submit Assignment Save Assignment Progress

Explanation / Answer

given

mass o f block m = 1700kg

contact speed v = 14 cm/s

the radius of wrinch drum r = 31cm

a) the force exterted by the cable F = mg

= 1700kg * 9.8 m/s^2 = 16.66 kN

b) the torque exerted by cable

                          = FX r = 16.66 kN * 0.31 m

                             = 5.16 kN m

C)

angular velocity of wrinch drum = v/r

                                                       = 0.14 m/s/ 0.31m

                                                      = 0.451 rad/s

d) power of the motor p =

                                         =5.16 kN m * 0.451 rad/s = 2.327 KW

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