please help me .. and please make your writing easy to follow... thank you.. 5. A gyroscope wheel weighs 7.0 lb and has an effective radius of 4.0 in. It spins with its axis horizontal at a rate of 3,000 r/min, clockwise as viewed from the pivot. The gyroscope is supported by a pivot near one end of the axle 6.0 in from the center of gravity. a.) What is the angular velocity of precession? b.) When viewed from above is the precession clockwise or is it counterclockwise? Explain/Support your answer.

a) Angular velocity of precession=0.93 rad/s

b) When viewed from above the precession will be counter clockwise

Step-by-step explanation

Given,

Mass of gyroscope wheel, m=7lb=7*0.454=3.178 kg

Effective radius, R=4inch=4*0.0254=0.1 m

d=6 inch=6*0.0254=0.15 m

a) 

Moment of inertia of gyroscope wheel, I=mR²/2=3.178*0.1²/2=0.016kgm²

Rotational speed, w=3000 rpm=3000*2π/60=100π rad/s

Angular velocity of precession, w_p=dmg/Iw=0.15*3.178*9.81/(0.016*100π)=0.93 rad/s

b) 

When viewed from above the precession will be counter clockwise, since the gyroscope is rotating in clockwise direction to the pivot in the horizontal axis, in the axis of precession it will be in counter clockwise direction.