Rotational Dynamics: Turbine Spins 3600 RPM to Coast

Click For Summary
SUMMARY

The discussion focuses on calculating the total revolutions made by an electric-generator turbine spinning at 3600 RPM as it coasts to a stop over 10.0 minutes. Using the rotational kinematic equations, specifically the relationship between angular displacement (θ), angular acceleration (α), and initial angular velocity (ωi), participants emphasize the need to convert time into seconds and apply the formula θ = ωi * t + 0.5 * α * t². The conclusion drawn is that the turbine makes a significant number of revolutions during this deceleration phase.

PREREQUISITES
  • Understanding of rotational kinematics
  • Familiarity with angular velocity and angular acceleration
  • Basic knowledge of radians and their conversion to revolutions
  • Ability to manipulate equations involving time and angular motion
NEXT STEPS
  • Study the derivation of rotational kinematic equations
  • Learn how to convert between RPM and radians per second
  • Explore examples of angular deceleration in mechanical systems
  • Investigate the effects of friction on rotational motion
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotational motion and energy dissipation in turbines.

novicephysics
Messages
1
Reaction score
0
An electric-generator turbine spins at 3600 rpm. Friction is so small that it takes the turbine 10.0 min to coast to a stop. How many revolutions does it make wile stopping?
 
Physics news on Phys.org
For these problems you can use the rotational versions of all your linear equations you've been using

So instead of d, you have theta, instead of v, angular velocity, and so on.

So the equation d=1/2at^2-Vi*t can be used but with the angle traveled in radians for d, angular acceleration for a, and initial angular velocity for Vi. That's not the particular equation you should use here though. This is similar to a problem where you know initial velocity and time, and want to find a. Then you can find d(which in this case is the total angle traveled in radians, so for example if it were like 6pi, the answer would be 3 revolutions)
 

Similar threads

The theory behind sound generation from spinning objects
  • · Replies 7 ·
Replies
7
Views
2K
Power Output of a Turbine (Rotational Energy)
  • · Replies 13 ·
Replies
13
Views
5K
Limiting factor in design of small gas turbine w/ LOW self sustain speed
  • · Replies 5 ·
Replies
5
Views
2K
Minimal rotational kinetic energy for a gyroscope to precess
  • · Replies 33 ·
2
Replies
33
Views
3K
How to determine Wind turbine RPM
  • · Replies 33 ·
2
Replies
33
Views
8K
How Many Revolutions Does a Turbine Make When Coasting to a Stop?
  • · Replies 1 ·
Replies
1
Views
4K
Solving for Revolutions: Electric-Generator Turbine
  • · Replies 1 ·
Replies
1
Views
3K
Dynamics - supertanker coasting to a stop
  • · Replies 2 ·
Replies
2
Views
2K
Intuition on the direction of friction in a rotational dynamics problem
  • · Replies 13 ·
Replies
13
Views
2K
How do wind turbines do their thing?
  • · Replies 9 ·
Replies
9
Views
3K