How long does it take for the pendulum to swing to the opposite side?

AI Thread Summary
The discussion centers on calculating the time it takes for a pendulum to swing from an initial angle of 8.8° to 4.4° on the opposite side. The user correctly identifies the formula for the period of a pendulum, T = 2*pi*sqrt(L/g), but struggles with the reasoning behind the suggested answer of 3T/4. They express confusion about the timing, noting that it should take less than T/2 to reach the halfway point of 4.4°. The user acknowledges their misunderstanding and the complexity of the problem, emphasizing the urgency to solve it correctly for credit. The conversation highlights the challenges of applying theoretical concepts to practical problems in physics.
drifter8027
Messages
2
Reaction score
0

Homework Statement



I searched and got nothing, I am also new here as my friend recently introduced me to this forum last night. I have gotten every single problem correct except this one so here goes:

A 300 g mass on a 1.0 m long string is pulled 8.8° to one side and released. How long does it take for the pendulum to reach 4.4° on the opposite side?

I only have one more try or else i lose all my credit (webassign ah) but any help is appreciated. Thank you!

Homework Equations



T = 2*pi*sqrt(L/g)
3T/4 = answer

The Attempt at a Solution



T= 2*pi*sqrt(1.0/9.81)
 
Physics news on Phys.org
Why do you say 3T/4 is the answer? From a rational standpoint, it will take less than T/2 to get to 4.4 degrees - its halfway point - since its average speed is greater than going from 4.4 to 8.8 degrees...it will take T/4 to get to equilibrium from its initial position., for sure, but from there you can't use ratios.
 
Yeah I suppose that my submission really doesn't make sense at all. But it was my last problem it's been a long day.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Foucault Pendulum at the North Pole
Replies
9
Views
2K
JEE solution wrong? (tempco of a clock)
Replies
14
Views
1K
How to parametrize motion of a pendulum in terms of Cartesian coordinates?
Replies
1
Views
1K
Solving a Simple Pendulum Problem with Math
Replies
9
Views
3K
Why Does T^2 Not Directly Correspond to L in Compound Pendulums?
Replies
2
Views
2K
Pendulum swinging and hitting a peg
Replies
1
Views
3K
Simple Pendulum Damping: Finding Amplitude and Energy Loss Rate
Replies
24
Views
5K
How Does Temperature Affect Pendulum Clock Accuracy?
Replies
17
Views
10K
Time to Reach Highest Speed of Simple Pendulum
Replies
1
Views
6K
How Does a Pendulum Behave When Its Support Accelerates Horizontally?
Replies
10
Views
2K

Hot Threads

Recent Insights

Back
Top