A 55 cm diameter wheel accelerates uniformly about its center from 110 rpm to 35

Question

A 55 cm diameter wheel accelerates uniformly about its center from 110 rpm to 350 rpm in 3.8 s . Determine its angular acceleration. Express your answer using two significant figures. Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.3 s after it has started accelerating. Express your answer using two significant figures. Determine the tangential component of the linear acceleration of a point on the edge of the wheel 1.3 s after it has started accelerating. Express your answer using two significant figures.

Explanation / Answer

here,

diameter , d = 0.55 m

radius , r = 0.275 m

initial angular speed , w0 = 110 rpm = 11.51 rad/s

final angular speed , w = 350 rpm

w = 36.63 rad/s

let the angular accelration be alpha

w = w0 + alpha * t

36.63 = 11.51 + alpha * 3.8

alpha = 6.61 rad/s^2

the angular accelration is 6.61 rad/s^2

after t = 1.3 s

w1 = w0 + alpha * t

w1 = 20.1 rad/s

radial component of accelration , ar = w1^2 * r

ar = 111.14 m/s^2

tangential component of accelration , a = r * alpha

a = 0.275 * 6.61 = 1.82 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.