Question

A bicycle has wheels with a 30-centimeter radius. If smaller wheels with a 25-centimeter radius are installed, what is the change in linear speed of the bicycle if the wheels rotate at 1 revolution per second?

Answer 1

Solution: Given data- Initial radius (Ri) = 30 cm or 30 x 162m (:1 cm = 16 m). Radius of small wheel (R)=25cm or 25 xjöm Angular velocity (w) = 1 rev/sec. Angle made in one revolution = 27 rad . Angular velocity (W) = 2a rad/sec Relation between linear and angular velocity - U = wr 30 Initial Linear velocity ( V; ) = (2+) (30 x102) V = 188.4 xiomis oro uy = 1.88 mis Similarly Linear velocity of small wheel (I) = WR = (25)(25X102) U = 1.57 mis change in linear speed of velocity - Av=viru put values Av=88–1-57)mls su = 0.31 m/s Answer