Agear is driven by a chain that travels 90 m/min. find the radius of the gear if it makes 50 revolutions per minute

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]

f is the midpoint of