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 shown in the drawing. The turntable is rotated one-half of a revolution to turn the car around. If the length of the car is 9.40 m and each person pushes with a 185-N force, what is the magnitude of the net torque applied to the car?
N · m

Explanation / Answer

2 * (9.4/2) * 185 Nm

============================

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 • 9.4 m (each)



Each pushes with 185 N of force.

Torque's force = 185 N (each)


And there are 2 of them.


Torque = Force • arm

Torque = 4.7 • 185 Nm


and since there are 2 of them:
Total Torque = 2 • (4.7 • 185) Nm

or


Total Torque = 1739 Nm

perfect!

please dont forget to rate my answer :)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.