Hi, can you please help me solve the following problem? It\'s notfrom a textbook

Question

Hi, can you please help me solve the following problem? It's notfrom a textbook, but we use the Giancoli Textbook as a resource.Thank you! Please provide step by step process of how youapproached the problem.

(a) Your bike is upside-down, and you made the front wheel spin at4.0 revolutions/s. Then you apply a steady force on the brake, andthe wheel stops in a quarter of a turn. Assuming the angularacceleration was constant, what was its
value?
Ans.: -64 = -201 rad/s.

(b) What total torque were the brake pads causing? The diameter ofthe wheel is 26” (1 inch = 2.54 cm) and its mass is 3 lbs (1kg = 2.2 lbs); use the approximation that the entire mass of thewheel is uniformly distributed along the rim.
Ans.: 145 Nm

(c) If the coefficient of kinetic friction between the brake padsand the wheel rim is k = 0.6, with what force was each of the twobrake pads pressing onto the rim?
Ans.: 365 N.

Explanation / Answer

w = 4 rev / s     = 4 * 2 rad / s     = 8 rad / s final angular speed w ' = 0 rad / s angular displacement = 2 / 4 = / 2rad from the relation w ' ^ 2 - w ^ 2 = 2 we findangular accleration value from this = - 201.06 rad / s ^ 2 (b). diameter of the wheel D = 26 inches = 26 * 0.0254m                                            = 0.6604 m mass m = 3 lbs             = 3 * ( 1/2.2 ) kg             = 1.3636 kg moment of inertia I = ( 1/2 ) m ( D / 2 ) ^ 2                              = 0.07434 kg m ^ 2 So, torque = I                   

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