Unit for torsional constant?

  • Thread starter Flinze
  • Start date
  • #1
23
1

Homework Statement


The 500-mg balance wheel of a certain clock is made up of a thin metal ring of radius 16 mm connected by spokes of negligible mass to a fine suspension fiber as in(Figure 1) . The back-and-forth twisting of the fiber causes the wheel to move in simple harmonic motion with period T. The clock ticks four times each second, with the interval between ticks equal to T/2.

a) Determine the rotational inertia I of the balance wheel.

b) What is the torsional constant of the fiber that drives the balance wheel?

The Attempt at a Solution


I figured out part a) but I can't seem to get the units correct for part b)? I've tried entering Nm/rad as the unit, but it doesn't seem to work. Can someone help me with the units please? This is due on soon on my online homework. Thanks!
IMG_20160407_224817.jpg
 

Answers and Replies

  • #2
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,670

Homework Statement


The 500-mg balance wheel of a certain clock is made up of a thin metal ring of radius 16 mm connected by spokes of negligible mass to a fine suspension fiber as in(Figure 1) . The back-and-forth twisting of the fiber causes the wheel to move in simple harmonic motion with period T. The clock ticks four times each second, with the interval between ticks equal to T/2.

a) Determine the rotational inertia I of the balance wheel.

b) What is the torsional constant of the fiber that drives the balance wheel?

The Attempt at a Solution


I figured out part a) but I can't seem to get the units correct for part b)? I've tried entering Nm/rad as the unit, but it doesn't seem to work. Can someone help me with the units please? This is due on soon on my online homework. Thanks!

You already know that ##ω=\sqrt{\frac{K}{I}}##, and the units of ω are rad/s and I is kg-m2.

Why haven't you done a dimensional analysis to find out what the units of K must be to satisfy the equation above?
 

Related Threads on Unit for torsional constant?

  • Last Post
Replies
2
Views
11K
Replies
2
Views
664
Replies
7
Views
5K
  • Last Post
Replies
1
Views
13K
  • Last Post
Replies
11
Views
556
Replies
4
Views
209
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
8
Views
9K
  • Last Post
Replies
1
Views
3K
Top