Answer:
The radius of the gear is, 0.286624204 m
Step-by-step explanation:
A gear is driven by a chain that travels 90 m/min. If it makes 50 revolutions per minute. then find the radius of the gear
let angular velocity be , velocity be v and radius be r.
Given:
Angular velocity =50 revolutions per minute
1 revolution = radian
50 revolution= radian
therefore, radian per minute
and velocity(v) = 90 meter per minute
Use formula: Velocity(v)= radius(r) angular velocity
then, we write above formula as :
Substitute the value of v and to solve for r: the constant value of pi i.e,
[as radian is unit less]