Question

MR-16.9752 Bicycle: A bicycle slows down uniformly from v = 8.40 m/s to rest over a distance of 115 m. Each wheel and tire has an overall diameter of 68.0 cm. Determine 0.080 0.30 m 0.6804<- (a) The angular velocity of the wheels at the initial instant (t = 0), (b) The total number of revolutions each wheel rotates before coming to rest, (c) The angular acceleration of the wheel, and (d) The time it took to come to a stop.

Answer 1

briven, Vo = 8.4omis - to vf=o, d = 115m da 68cm, r = 34cm = 0.34m 8.4oms 0.34 m 24.7 Ans 11 sm @ use vasu w = ang. Velocity W = = 8.4 ms = /24 7 sad Islame 6 N=2. Find; angular distance (0) use L=80 0= %= Tum O= 338.2 rad and 0=2AN N=8 = 338.2 sev = 53.800v/ Ang © linear acceleration(a) use x - vo² = zas rev 53.8 rev 338.2 27 70 (8.40)2 m/² a = = 0.307 m/ 22 25 2X115m and ang acceleration (2) = % X : 0-307 m/s2 = 10.902 vad s2 Ang 2) T=9 use, eavation : f - vozat 0.34 m

t = vo = 7 - l - 8.4omis 0.307 m/s² 1+- 24:45 Ang 27.9 S Ang