Time Period of pendulum on another planet? Given gravity

Click For Summary

Homework Help Overview

The problem involves calculating the period of a simple pendulum on Jupiter, given its period on Earth and the acceleration due to gravity on both planets. The subject area pertains to the physics of pendulums and gravitational effects.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss how to relate the period of the pendulum on Earth to that on Jupiter, questioning how to incorporate the different gravitational accelerations into the formula. Some explore algebraic manipulations to find the length of the pendulum and its effect on the period.

Discussion Status

The discussion is active, with participants attempting various algebraic approaches to solve for the period on Jupiter. Some have provided hints and guidance on how to set up the equations, while others express uncertainty about their calculations and interpretations.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is also a focus on ensuring that the calculations reflect the differences in gravitational acceleration between Earth and Jupiter.

teggenspiller
Messages
94
Reaction score
0

Homework Statement



9. A simple pendulum on Earth has a period of 6.0 seconds. What would the period of this pendulum be on Jupiter, if the acceleration of gravity on the surface of Jupiter is 26 m/s2

A. 2.3 sec
B. 3.7 sec
C. 6.0 sec
D. 15.6 sec

Homework Equations


T=2pi * sqrt (L/g) Where L= Length of the pendulum

g=grav


The Attempt at a Solution



i know that 6.0s=2pi * (L/9.8) <-since that is the gravity on earth.
and T= 2pi* (L/9.8)

maybe, 6= 2pi * (L/9.8) ? But then ill be solving for L...
i have no idea what to do if anyone could please help me/explain the concepts.
 
Physics news on Phys.org
They're asking you what T would be, so that is what you need to solve for under Jupiter conditions.

What changes on the right hand side when you move to Jupiter?
 
maybe sub "6on Earth" somewhere, but i don't know how to word that into a mathmatical form. like present the ratio between Earth and Jupiter somewhere
 
im doing 6= 2pi sqrt(L/26)

6^2=4pi^2 L/26

i keep getting 23. which is not an option.
 
The period is 6 sec. on earth. It will not be 6 sec on Jupiter. Don't you have enough information to calculate the period on Jupiter? (Hint: use algebra)
 
OKAY, cross multiply, try number 3:

6sec = Xsec x=15.91, which again, is not an option.
/9.8 / 26
 
so now i have solved for the LENGTH of the pendulum on earth: L= 6^2/4pi^2 * 9.8

(i think that's right) and used 870, the Length and solved for T on Jupiter.

I get 36.34. Hmm, the squroot of 36.34 is 6. ahhh!
 
In the formula for the period of the pendulum, you have enough data to determine the length of the pendulum based on its behaviour on earth. Taking the same pendulum to Jupiter, where the gravity is higher, what would the period of the pendulum be?
 
is the length, 870, correct, you think? at least tell me tHat much. <?>
 
  • #10
thanks everyone for the help! Gotta 100 on the quiz!
 

Similar threads

Period of a Pendulum on the Moon
  • · Replies 7 ·
Replies
7
Views
4K
JEE solution wrong? (tempco of a clock)
  • · Replies 14 ·
Replies
14
Views
2K
Foucault Pendulum at the North Pole
  • · Replies 9 ·
Replies
9
Views
3K
Finding the period (T) of a pendulum on Mars
  • · Replies 3 ·
Replies
3
Views
5K
What Happens to a Pendulum's Period at 90 Degrees Inclination?
  • · Replies 13 ·
Replies
13
Views
4K
Period of simple pendulum on an inclined moving platform
  • · Replies 20 ·
Replies
20
Views
3K
Experiment to determine the time period of a pendulum
  • · Replies 12 ·
Replies
12
Views
2K
How much do you need to increase the pendulums length by to
  • · Replies 2 ·
Replies
2
Views
1K
Understanding the Period of a Pendulum: How is T = 2pi * sqrt(L/g) Derived?
  • · Replies 2 ·
Replies
2
Views
6K
Pendulum Period on Earth and Mars
  • · Replies 6 ·
Replies
6
Views
7K