(9003 unread)-fellc@y RE My Blackboard Co tent A Patagonia Atom Sling- Fall17-12
ID: 1793915 • Letter: #
Question
(9003 unread)-fellc@y RE My Blackboard Co tent A Patagonia Atom Sling- Fall17-123-Rotation ©Fall17-123-Work Andn Cooper - x × × × Secure | https://wwww.webassign.net/web/Student/Assignment Reading st?dep 16554944 9. +-13 points My N A heavy wheel (radius 0.3 meters, mass = 12 kg) has a massless rope spooled around it. A woman pulls on the rope from below with a constant force. She is able to bring the wheel from rest up to 0.7 radians per second in 10 seconds. [Ignore friction in the hub of the wheel.] a) When the wheel is at its final angular speed, at what linear speed is the rope unspooling? b) How much force was exerted by the woman? c) How much work was done on the wheel by the woman? m/s My N Angie has bought a bicycle speedometerfodometer. It is a magnetic device attached to the spokes of the front wheel, and a sensor mounted on the fork which measures each passage of de 10:57AM 10. + -1 points O Type here to searchExplanation / Answer
When the wheel is at its final angular speed, at what linear speed is the rope unspooling?
A: v = *r = 0.7rad/s * 0.3m = 0.21 m/s
Q: How much force was exerted by the woman?
A: torque = F*r = I*
For the disk, I = ½mr² = ½ * 12kg * (0.3m)² = 0.54 kg·m²
and = / t = 0.7rad/s / 10s = 0.07 rad/s² so
F * 0.3m = 0.54kg·m² * 0.07rad/s²
F = 0.0.011 N
Q: How much work was done on the wheel by the woman?
A: The wheel has
KE = ½I² = ½ * 0.54kg·m² * (0.7rad/s)² = 0.1323 J
so that's how much work was done.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.