• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Physics Principles with Applications
Found in: Page 198
Physics Principles with Applications

Physics Principles with Applications

Book edition 7th
Author(s) Douglas C. Giancoli
Pages 978 pages
ISBN 978-0321625922

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Why do tightrope walkers (Fig. 8–34) carry a long, narrow rod?

FIGURE 8-34 Question 13.

The long rod helps in maintaining balance while walking over the rope.

See the step by step solution

Step by Step Solution

Meaning of torque

The term "torque" may be described as the twisting force that causes revolution in a body.

Its value relies on the applied force's position, direction, and significance. It is considered a movement force.

Moment of inertia of a long rod

Let \(M\) be the mass of the rod and \(L\) be its length.

The expression for the moment of inertia of the long rod is given as:

\(I = \frac{1}{{12}}M{L^2}\) … (i)

The expression for the angular acceleration is given as:

\(\alpha = \frac{\tau }{I}\)

Substitute the value of equation (i) in the above equation.

\(\begin{aligned}{c}\alpha = \frac{\tau }{{\left( {\frac{1}{2}M{L^2}} \right)}}\\\alpha = \frac{{12\tau }}{{M{L^2}}}\end{aligned}\)

From the above-mentioned equation, it is clear that for a given value of torque, the angular acceleration produced is inversely related to the mass of the rod and the square of its length.

The longer the rod, the lesser will be the angular acceleration produced. When a tightrope walker walks over a tight rope, the gravitational force exerts a torque on her/his body, which tends to rotate her body.

If the angular acceleration is large, then she/he would lose balance easily. By holding the long rod, she/he increases the moment of inertia and thus reduces the angular acceleration.


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.