Pulley Problems with Rotation

  • Thread starter Thread starter A2Fire
  • Start date Start date
  • Tags Tags
    Pulley Rotation
Click For Summary
SUMMARY

In the discussion on pulley problems with rotation, Wheel A (radius 10 cm) accelerates at 1.6 rad/s², and Wheel C (radius 25 cm) is connected via a belt. To determine the time required for Wheel C to reach a rotational speed of 100 rev/min, the relationship between the angular speeds and radii of the wheels must be utilized. The equations of motion for rotational dynamics, specifically wf² - wi² = 2a(θ), are essential for solving this problem, where θ represents the angular displacement.

PREREQUISITES
  • Understanding of rotational kinematics and dynamics
  • Familiarity with the equations of motion for rotational systems
  • Knowledge of angular speed and its conversion to linear speed
  • Basic grasp of the relationship between radius and angular displacement
NEXT STEPS
  • Study the equations of motion for rotational dynamics in detail
  • Learn how to convert angular speed from revolutions per minute to radians per second
  • Explore the concept of angular displacement and its calculation
  • Investigate the effects of belt tension and slippage in pulley systems
USEFUL FOR

Students and professionals in mechanical engineering, physics enthusiasts, and anyone involved in the design or analysis of pulley systems and rotational mechanics.

A2Fire
Messages
3
Reaction score
0
1. Wheel A of radius 10 cm is coupled by belt B to a wheel C of radius 25 cm. Wheel A increases its angular speed from rest at a uniform rate of 1.6 rad/s^2. Determine the ime required for wheel C to reach a rotational speed of 100 rev/min, assuming the belt does not slip



2. I'm very confused by what exactly I have to solve for first. I know that I have to use the 5 equations of motion (with the rotation variables subbed in for the linear ones) but I'm still not sure.



3. I thought that since the radius of C is A*2.5, I thought about solving for A, and then multiplying by 2.5, but I don't know... Can someone please show me how to do it?
 
Physics news on Phys.org
by coupled, it means that the two wheels are connected by a belt that goes around them, like a rubber band.
 
wf^2-wi^2=2a(theta) is what I'm thinking of using, but I don't know where to get (theta) in relation to the radius. i know that theta r = d, but there's no "d"

:(
 

Similar threads

What mass must be placed on the cord to keep the pulley from rotating?
  • · Replies 1 ·
Replies
1
Views
1K
What is the Linear Distance and Angular Velocity of a Rotating Potter's Wheel?
  • · Replies 7 ·
Replies
7
Views
2K
Force on a rotating wheel/disc
  • · Replies 25 ·
Replies
25
Views
2K
Oscillatory motion problem: Bicycle wheel rotation oscillation
  • · Replies 17 ·
Replies
17
Views
1K
System of two wheels of different sizes with an axle through their centers
  • · Replies 67 ·
3
Replies
67
Views
5K
What happens to a ball placed on a moving conveyor belt?
  • · Replies 8 ·
Replies
8
Views
3K
Forces when car wheels "lay rubber"
  • · Replies 5 ·
Replies
5
Views
2K
Angular Velocity: Pulley and belt system
  • · Replies 11 ·
Replies
11
Views
4K
Mechanics: Two masses on a pulley causing two cylinders to accelerate
  • · Replies 16 ·
Replies
16
Views
2K
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
  • · Replies 32 ·
2
Replies
32
Views
3K