Answer:
v = 10.47 m/s
a = 219.32 m/s²
Explanation:
The velocity of the stone can be given by the following formula:
v = r ω
where,
v = linear velocity of the stone = ?
r = radius of tire = 0.5 m
ω = angular velocity = (200 rev/min)(2π rad/1 rev)(1 min/60 s) = 20.94 rad/s
Therefore,
v = (0.5 m)(20.94 rad/s)
v = 10.47 m/s
The acceleration of the stone will be equal to the centripetal acceleration. Therefore,
a = v²/r
a = (10.47 m/s)²/0.5 m
a = 219.32 m/s²
