Calculating Rotational Speed for Wheel C: 240.7 rev/min

Click For Summary
SUMMARY

To calculate the time at which wheel C reaches a rotational speed of 240.7 rev/min, given that wheel A has a radius of 14.6 cm and accelerates at 7.1 rad/s², the relationship between the angular speeds of the wheels must be established. The formula Vta = Vtc is used, where Vta is the tangential speed of wheel A and Vtc is the tangential speed of wheel C. The calculations must include unit conversions and proper application of angular velocity formulas to ensure accuracy in determining the time.

PREREQUISITES
  • Understanding of angular velocity and acceleration concepts
  • Familiarity with the relationship between linear and angular motion
  • Basic proficiency in unit conversion (e.g., radians to revolutions)
  • Knowledge of kinematic equations for rotational motion
NEXT STEPS
  • Review the relationship between angular speed and radius in rotational systems
  • Practice unit conversions between radians and revolutions per minute
  • Explore kinematic equations specific to rotational motion
  • Investigate the effects of belt slip on rotational speed calculations
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in rotational dynamics or mechanical design will benefit from this discussion.

hatingphysics
Messages
14
Reaction score
0
Wheel A of radius ra = 14.6 cm is coupled by belt B to wheel C of radius rc = 28.8 cm. Wheel A increases its angular speed from rest at time t = 0 s at a uniform rate of 7.1 rad/s2. At what time will wheel C reach a rotational speed of 240.7 rev/min, assuming the belt does not slip?

I did ...Vta = Vtc, but stil didint get it. i got the Vtc
value and divided that by raduis of A to get w for a. then
divided the acceleration by the w for a, but my time is
still wrong!
 

Attachments

  • belt.gif
    belt.gif
    7 KB · Views: 566
Physics news on Phys.org
Sounds like you are basically using the correct approach. Can you please post your calculations (including units) so we can see if it's just a math error?
 

Similar threads

What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
  • · Replies 7 ·
Replies
7
Views
2K
Calculate the radius of this rotating wheel
  • · Replies 9 ·
Replies
9
Views
3K
Calculating Flywheel Rotations in Angular Speed and Constant Acceleration
  • · Replies 10 ·
Replies
10
Views
2K
Shooting an arrow through the spokes of a turning wheel
  • · Replies 7 ·
Replies
7
Views
2K
Connected Wheels Problem. Angular Velocity.
  • · Replies 3 ·
Replies
3
Views
4K
How Does a Vacuum Cleaner Belt Influence Rotational Motion Dynamics?
  • · Replies 3 ·
Replies
3
Views
5K
How to calculate angular speed?
  • · Replies 7 ·
Replies
7
Views
3K
Calculating Radial Acceleration of a Rotating Wheel
  • · Replies 2 ·
Replies
2
Views
4K
Calculation of torque to stop a wheel.
  • · Replies 4 ·
Replies
4
Views
6K
Calculating Revolutions for a Spinning Wheel | Circular Motion Problem
  • · Replies 18 ·
Replies
18
Views
3K