What is the Speed and Acceleration?
Your roommate is working on his bicycle and has the bike upside down. He spins the 62 cm-diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second.
What is the pebble’s speed?
Angular speed: 3 rev
Diameter (d) : 62 cm
Convert angular speed to radians.
3 x 2π = 18.84 rad/s
convert units cm to m.
radius (r) = d/2
r= .31 m
Tangential speed, v = rω
v= (.31) x 18.84
v= 5.84 m/s
2) What is the pebble’s acceleration?
Equation for radial acceleration: