Question

brainly A bicycle wheel has a diameter of 64.0 cm and a mass of 1.80 kg. Assume that the wheel is a hoop with all the mass concentrated on the outside radius. The bicycle is placed on a stationary stand, and a resistive force of 120 N is applied tangent to the rim of the tire. (a) What force must be applied by a chain passing over a 9.00-cm-diameter sprocket in order to give the wheel an acceleration of 4.50 rad/s2

Answer 1

For a bicycle wheel has a diameter of 64.0 cm, a mass of 1.80 kg and a resistive force of 120 N, The force must be applied by the chain is mathematically given as

F=862.413N

What force must be applied by a chain passing over a 9.00-cm-diameter sprocket in order to give the wheel an acceleration of 4.50 rad/s2?

Generally, the equation for the Inertia  is mathematically given as

I=0.5mr^2

Therefore

I=0.5(1.8)(0.32)^2

In conclusion

Znet=0.091*4.49

Znet=0.4086N.m

Hence

$x*\frac{0.09}{2}-120*0.32=Znet\\\\x*\frac{0.09}{2}-120*0.32=0.4086$

F=862.413N

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