physics
posted by rob .
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the pottery wheel (radius 27.0 cm) without slipping.
(1) Calculate the angular acceleration of the pottery wheel.
Express your answer using two significant figures.
(2) Calculate the time it takes the pottery wheel to reach its required speed of 59 rpm.

physics 
Henry
1. 1.7/27 * 6.9 = 0.434 RAD/s^2.
2. V = 59 REV/min * 2pi RAD/REV * 1/60 min/s = 6.18 RAD/s.
V = a * t,
6.18 = 0.434t,
t = 6.18/0.434 = 14.2 s. 
physics 
CHRISTOPHEREST
The angular acceleration is
(1.7/27)(6.9rad/s^2)=0.434 rad/s^2
The it takes the bigger wheel to reach 59rpm
(59 rev/mn)(2πrad/rev)(mn/60s)= 6.18 rad/s
w = a/t so t =w/a
t= 6.18 rad/s / 0.434rad/s^2
t = 14.2 s
Respond to this Question
Similar Questions

Physics
A 2000kg ferris wheel accelerates from rest to an angular speed of 2.0 rad/s in 12 secs. Approximate the ferris wheel as a circular disk with a radius of 30m. what iss the net torque on the wheel 
physics
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the … 
physics
A large wooden wheel of radius R and the moment of inertia I is mounted on an axle so as to rotate freely. A bullet of mass m and speed v is shot tangential to the wheel and strike its edge, lodging in the wheel’s rim. If the wheel … 
physics
A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.8 and accelerates at the rate of 7.0 , and it is in contact with the pottery wheel … 
physics
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 260 N applied to its edge causes the wheel to have an angular acceleration … 
physics
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration … 
Math
One popular ride at carnivals is the Roundabout, which works in the following manner. Riders stand on the inside edge of a circle, with their backs against a wall mounted on the edge of the circle. The wheel begins to spin. Once it … 
physics
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 280 N applied to its edge causes the wheel to have an angular acceleration … 
physics
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration … 
Physics
The large diskshaped flywheel illustrated below has a radius R of 0.25 m. It is made to spin by the small wheel that contacts it at its rim. The small wheel applies a constant force of 1430 N. Friction in the bearing exerts a retarding …