Please expalin the reason behind your answers. The cellular motor driving the fl

Question

Please expalin the reason behind your answers.

The cellular motor driving the flagellum in E. coli exerts a typical torque of 360pN middot nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 15nm -radius flagellum, what's the magnitude of that force? Express your answer to two significant figures and include the appropriate units. A car tune-up manual calls for tightening the spark plugs to a torque of 30.0N middot m. To achieve this torque, with what force must you pull on the end of a 21.0cm -long wrench if you pull (a) at right angles to the wrench shaft and (b) at 109 degree to the wrench shaft?

Explanation / Answer

10.53 T = F*r

360*10^-12*10^-9 = F*15*10^-9

F = 24pN

10.22

F = 30/0.21 = 142.85N

F(theta) = 30/(0.21*cos19) = 151N

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