Formula for radial acceleration

Click For Summary
SUMMARY

The discussion focuses on calculating the radial acceleration and tension in a cord for a mass moving in a circular path. Given a mass of 0.51 kg, a cord length of 0.52 m, and a speed of 2.1π m/s, the radial acceleration can be determined using the formula aR = v²/r. The tension in the cord can also be calculated based on the radial acceleration. The relationship between radial acceleration and centripetal acceleration is emphasized as they are equivalent.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with the formulas for radial and centripetal acceleration
  • Basic knowledge of tension in a cord during circular motion
  • Ability to perform calculations involving mass, radius, and velocity
NEXT STEPS
  • Learn how to derive centripetal acceleration formulas
  • Study the relationship between tension and radial acceleration in circular motion
  • Explore examples of circular motion in physics problems
  • Investigate the effects of friction on circular motion dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of radial acceleration calculations.

vwillis
Messages
6
Reaction score
0

Homework Statement



A small body of mass 0.51 kg is attached by a 0.52 m long cord to a pin set into the surface of a frictionless table top. The body moves in a circle on the horizontal surface with a speed of 2.1π m/s.
(a) What is the magnitude of the radial acceleration of the body?
m/s2

(b) What is the tension in the cord?
 
Physics news on Phys.org
vwillis said:

Homework Statement



A small body of mass 0.51 kg is attached by a 0.52 m long cord to a pin set into the surface of a frictionless table top. The body moves in a circle on the horizontal surface with a speed of 2.1π m/s.
(a) What is the magnitude of the radial acceleration of the body?
m/s2

(b) What is the tension in the cord?

radial acceleratio is same as centripetal accelaration.

aR=v2/r=w2r=wv

Good luck!
 

Similar threads

  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
Replies
13
Views
3K
  • · Replies 38 ·
2
Replies
38
Views
5K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
12
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
17
Views
2K
  • · Replies 25 ·
Replies
25
Views
4K