In this example we will apply the equations for constant angular acceleration to

Question

In this example we will apply the equations for constant angular acceleration to the simple case of a rotating bicycle wheel. The angular velocity of the rear wheel of a stationary exercise bike is 0=4.00rad/s at time t=0, and its angular acceleration is constant and equal to =2.40rad/s2. A particular spoke coincides with the +x axis at time t=0

Part A - Practice Problem:

How much longer will it take before the reference spoke is once again aligned with the +x axis?

Part B - Practice Problem:

What will the angular speed of the wheel be at this time?

Explanation / Answer

here,

w0 = 4 rad/s

angular accelration ,
alpha = 2.4 rad/s^2

for the reference spoke is once again aligned with the +x axis , theta = 2 * pi

A)

let the time taken be t

theta= w0 * t + 0.5 * alpha*t^2

2*pi = 4 * t + 0.5 * 2.4 * t^2

t = 1.16 s

the time taken is 1.16 s

B)

the angular speed of wheel , w = w0 + alpha*t

w = 0 + 2.4 * 1.16

w = 2.78 rad/s

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

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