Calculating the Speed of a Pendulum Bob Using Energy Equations

  • Thread starter Thread starter Vanessa Avila
  • Start date Start date
  • Tags Tags
    pendulum speed
Click For Summary

Homework Help Overview

The discussion revolves around calculating the speed of a pendulum bob at the lowest point of its swing, given its length and the angle from which it is released. The context involves energy conservation principles in physics, specifically relating to potential and kinetic energy.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss various attempts to calculate the speed using trigonometric functions but express uncertainty about the correct approach and relevant equations. Questions arise regarding the source of energy that contributes to the bob's velocity and the interpretation of calculated values.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the importance of diagrams and understanding forces, while questions about potential and kinetic energy remain open for further exploration.

Contextual Notes

Participants note confusion regarding the units of their calculations and the nature of energy transformations involved in the pendulum's motion. There is a lack of consensus on the correct equations to apply, and assumptions about energy sources are being questioned.

Vanessa Avila
Messages
94
Reaction score
1
1.) Homework Statement
A(n) 2.71 m long pendulum is released from rest when the support string is at an angle of 35.8◦ with the vertical.
The acceleration of gravity is 9.8 m/s2 . What is the speed of the bob at the bottom of the swing?
Answer in units of m/s

2.) Relevant equations
Not sure

3.) The attempt at a solution
I tried to do 2.71sin(35.8) and I got 1.585. It's not the right answer. I also tried to do do cos(35.8) but that did not work either. Are there any other equations I have to use to find the speed of the bob?
 
Physics news on Phys.org
Vanessa Avila said:
1.) Homework Statement
A(n) 2.71 m long pendulum is released from rest when the support string is at an angle of 35.8◦ with the vertical.
The acceleration of gravity is 9.8 m/s2 . What is the speed of the bob at the bottom of the swing?
Answer in units of m/s

2.) Relevant equations
Not sure

3.) The attempt at a solution
I tried to do 2.71sin(35.8) and I got 1.585. It's not the right answer. I also tried to do do cos(35.8) but that did not work either. Are there any other equations I have to use to find the speed of the bob?

Where does the energy come from that results in the bob having a velocity?
 
gneill said:
Where does the energy come from that results in the bob having a velocity?

Does the energy come from the string?
 
The best way to solve is to draw a neat diagram and show all the forces acting on the object. This might seem trivial but helps in better understanding of many concepts of physics.
 
Vanessa Avila said:
I tried to do 2.71sin(35.8)
What would the result of that calculation represent? What would its units be?
 
haruspex said:
What would the result of that calculation represent? What would its units be?
since 2.71 is m I assume it would be m as well not m/s.
 
Vanessa Avila said:
since 2.71 is m I assume it would be m as well not m/s.
Right, so it is not a speed.
What do you know about potential and kinetic energy? Any equations you know of?
 

Similar threads

  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 11 ·
Replies
11
Views
6K
Replies
23
Views
2K
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 11 ·
Replies
11
Views
2K