• Support PF! Buy your school textbooks, materials and every day products Here!

Simplifying slope-angular acceleration vs torque

  • #1

Homework Statement



In a lab we conducted in class we graphed angular acceleration vs torque, and found a positive linear correlation-easy enough. However I am getting rather stuck in simplifying the units of slope in terms of Kg, m, and s... I am fairly sure this will give me that angular acceleration equals torque times inertia but I have trouble with simplifying the slope AND with even getting torque and angular acceleration simplified to kg m and s. I would really appreciate some help! thanks!!

Homework Equations



Torque=NM
NM=Kg*a*m
kg*a*m=kg*(m/s^2)*m
=kg*m^2/s^2

Angular Acceleration= rad/s^2
rad/s^2=at/r
at/r=m/s^2/r
m^2/s^2


The Attempt at a Solution


(kg*m^2/s^2)/(m^2/s^2)
=kg
 
Last edited by a moderator:

Answers and Replies

  • #2
vela
Staff Emeritus
Science Advisor
Homework Helper
Education Advisor
14,623
1,257

Homework Statement



In a lab we conducted in class we graphed angular acceleration vs torque, and found a positive linear correlation-easy enough. However I am getting rather stuck in simplifying the units of slope in terms of Kg, m, and s... I am fairly sure this will give me that angular acceleration equals torque times inertia but I have trouble with simplifying the slope AND with even getting torque and angular acceleration simplified to kg m and s. I would really appreciate some help! thanks!!

Homework Equations



Torque=NM
NM=Kg*a*m
kg*a*m=kg*(m/s^2)*m
=kg*m^2/s^2

Angular Acceleration= rad/s^2
rad/s^2=at/r
at/r=m/s^2/r
m^2/s^2
Your mistake is here. You have
$$\left[\frac{a_t}{r}\right] = \frac{\text{m}/\text{s}^2}{\text{m}} = \cdots$$ You shouldn't get m2/s2.


The Attempt at a Solution


(kg*m^2/s^2)/(m^2/s^2)
=kg
 

Related Threads on Simplifying slope-angular acceleration vs torque

  • Last Post
Replies
3
Views
8K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
5
Views
2K
Replies
2
Views
2K
  • Last Post
Replies
20
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
7K
  • Last Post
Replies
8
Views
727
  • Last Post
Replies
4
Views
8K
Replies
5
Views
2K
Top