previous 20 of 29 Alternate Exercise 10.87 You have your bicycle upside down for

Question

previous 20 of 29 Alternate Exercise 10.87 You have your bicycle upside down for repairs. The front wheel is free to rotate and is perfectly balanced except for the valve, which is 32 cm from the wheel's rotation axis. You're holding the wheel with the valve at 24° below the horizontal, and you determine that the torque resulting from the weight of the valve is 72 mN m. Part A Find the mass of the valve. Express your answer with the appropriate units. m Value Units Submit My Answers Give Up Contir

Explanation / Answer

we knwo that the torque T = r*F sin theta

given

r = 0.32 m , theta = 24 degrees , T = 72 mN m

substitutitng the values  

72*10^-3 = 0.32 *F sin 24

F = 72*10^-3/(0.32*sin24)

mg = 0.5531835 N

m = 0.5531835/9.8 = 0.056447 kg

so the mass of the valve is 0.056447 kg or m = 56.447g

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