Finding Angular Velocity in Rotational Motion Problems

Click For Summary
SUMMARY

The discussion centers on calculating angular velocity from rotational motion problems, specifically converting 53 revolutions per minute (rpm) to radians per second (rad/sec). The correct conversion yields 5.55 rad/sec, which, when multiplied by 2π, results in an angular velocity of 34.8717 rad/sec. The relevance of mass in this context is dismissed, as the problem focuses solely on unit conversion rather than mass-related calculations.

PREREQUISITES
  • Understanding of angular velocity and its units (rad/sec)
  • Knowledge of unit conversion between rpm and rad/sec
  • Familiarity with the mathematical constant π (pi)
  • Basic principles of rotational motion
NEXT STEPS
  • Study unit conversion techniques for angular measurements
  • Learn about the relationship between linear and angular motion
  • Explore the implications of mass in rotational dynamics
  • Investigate common errors in solving rotational motion problems
USEFUL FOR

Students studying physics, educators teaching rotational dynamics, and anyone seeking to improve their problem-solving skills in angular motion calculations.

momoneedsphysicshelp
Messages
23
Reaction score
2
Homework Statement
A ball, 1.8 kg, is attached to the end of a rope and spun in a horizontal circle above a student's head. As the student rotates the ball in a horizontal clockwise circle their lab partner counts 53 rotations in one minute. What is the ball's angular velocity in radians per second?
Relevant Equations
1 rad/sec = 60/2pi rmp
53 rpm equals 5.55 rad/sec
multiply 5.55 by 2pi to get angular velocity of 34.8717

Is the answer 34.8717?

What should I have done to more accurately solve the problem with a better understanding?

What other steps should I take when solving similar problems?

and lastly,
Is the mass relevant to the problem in any way?
 
Physics news on Phys.org
momoneedsphysicshelp said:
53 rpm equals 5.55 rad/sec
Right. Why continue past that? You are asked for it in units of rad/sec.
 
momoneedsphysicshelp said:
Is the mass relevant to the problem in any way?
No.
 
  • Like
Likes   Reactions: momoneedsphysicshelp
haruspex said:
Right. Why continue past that? You are asked for it in units of rad/sec.
So this is only a conversion problem?
Thanks you very much.
 
When I turned in that answer, it was still wrong.
 
What answer ?
 

Similar threads

Replies
67
Views
4K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
2
Views
2K
Replies
1
Views
2K
Replies
12
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 2 ·
Replies
2
Views
6K