Motion with constant angular acceleration

Click For Summary
SUMMARY

The discussion focuses on calculating the number of revolutions made by a blade under constant angular acceleration. Participants emphasize the importance of understanding angular motion equations, which are analogous to linear motion equations. Specifically, integration is highlighted as the mathematical operation needed to derive distance traveled from acceleration. The conversation also touches on the need for clarity in posting mathematical equations using LaTeX.

PREREQUISITES
  • Understanding of angular motion equations
  • Familiarity with integration in calculus
  • Basic knowledge of LaTeX for formatting mathematical expressions
  • Concept of constant angular acceleration
NEXT STEPS
  • Study the relationship between angular displacement and time under constant angular acceleration
  • Learn how to apply integration to angular motion problems
  • Explore the use of LaTeX for presenting mathematical equations clearly
  • Investigate real-world applications of angular motion in mechanical systems
USEFUL FOR

Students in physics, engineers working with rotational systems, and anyone interested in mastering angular motion calculations.

Zoubayr
Messages
24
Reaction score
2
Homework Statement
The blade of a circular saw of diameter 20 cm accelerates uniformly from rest to 7000 rev/min in 1.2 s. What is the angular acceleration? How many revolutions will the blade have made
by the time it reaches full speed?
Relevant Equations
w=2πf
w=w_o +at
CamScanner 12-04-2022 20.26.jpg


I am not understanding the 2nd part of the question where it is asked about how many revolutions will the blade make when it reaches full speed. Please help
 
Last edited by a moderator:
Physics news on Phys.org
Please learn how to post math equations using LaTeX. Your answer above looks like "Gio rad/s^2". There is a LaTeX Guide link below the Edit window to help you out. Thanks.

Zoubayr said:
I am not understanding the 2nd part of the question where it is asked about how many revolutions will the blade make when it reaches full speed.
The angular equations (position, velocity, acceleration) are analogous to their linear counterparts. For linear motion, what mathematical operation do you use (twice) to go from acceleration to distance traveled? :smile:
 
integration
 
  • Like
Likes   Reactions: berkeman
Zoubayr said:
...
I am not understanding the 2nd part of the question where it is asked about how many revolutions will the blade make when it reaches full speed. Please help
Let's divide the time during which the acceleration happened into 12 tenths of one second.
How many times the blade completed a full turn within the 0 to 0.1 second?
...
...
How many times the blade completed a full turn within the 1.1 to 1.2 second?
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
967
  • · Replies 71 ·
3
Replies
71
Views
3K
Replies
26
Views
1K
Replies
3
Views
2K
Replies
67
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 16 ·
Replies
16
Views
1K
Replies
15
Views
2K
Replies
5
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K