What is the Speed and Centripetal Acceleration of a Rotating Grinding Wheel?

Click For Summary
SUMMARY

The speed of a point on the outer edge of a grinding wheel with a radius of 7.6 cm rotating at 1750 rpm is calculated to be 13.93 m/s. The centripetal acceleration for this point is determined to be 2553.2 m/s². The calculations utilize the formulas for linear speed and centripetal acceleration, confirming the results as accurate. Additionally, the discussion includes a brief tutorial on how to input the π symbol in LaTeX.

PREREQUISITES
  • Understanding of rotational motion concepts
  • Familiarity with linear speed and centripetal acceleration formulas
  • Basic knowledge of LaTeX for mathematical notation
  • Ability to convert rpm to radians per second
NEXT STEPS
  • Learn how to derive the formula for centripetal acceleration
  • Study the relationship between angular velocity and linear speed
  • Explore advanced LaTeX formatting for mathematical expressions
  • Investigate the effects of radius on centripetal acceleration
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of rotating systems will benefit from this discussion.

frozen7
Messages
163
Reaction score
0
A grinding wheel (radius 7.6cm) is rotating at 1750 rpm.
(a) What i the speed of a point on the outer edge of the wheel?
(b)What is the centripetal acceleration of the point?

I do this question in this way:

(a) f= 1750rpm = 29.167rps => T= 1/f = 0.03428

v= (2"pie"r) / T
= 13.93
(sorry...I don't know how to key in "pie", can anyone teach me?)

(b) a = (v^2) / r
= 2553.2

Am I right?
 
Physics news on Phys.org
frozen7 said:
sorry...I don't know how to key in "pie", can anyone teach me
without using TEX, u can also create the symbol π by typing "&" then "pi" then ";" (semicolon) like this: π
 
Last edited:

Similar threads

Replies
7
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
12
Views
2K
Replies
16
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
1
Views
2K
  • · Replies 28 ·
Replies
28
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K