In San Francisco a very simple technique is used to turn around a cable car when

Question

In San Francisco a very simple technique is used to turn around a cable car when it reaches the end of its route. The car rolls onto a turntable, which can rotate about a vertical axis through its center. Then, two people push perpendicularly on the car, one at each end, as in the figure. The turntable is rotated one-half of a revolution to turn the car around. If the length of the car is 9.25 m and each person pushes with a 185-N force, what is the magnitude of the net torque applied to the car?

Explanation / Answer

It rotates about the center, and each person pushes at the end. That means for each person the distance from the center of rotation is ½ of the total length. Torque arm = ½ • 7.00 m (each) Each pushes with 190 N of force. Torque's force = 190 N (each) And there are 2 of them. Torque = Force • arm Torque = 3.50 • 190 Nm and since there are 2 of them: Total Torque = 2 • (3.50 • 190) Nm orTotal Torque = 1330 Nm?

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