Harmonic Motion-Just need to make sure

  • Thread starter Thread starter jago-k1
  • Start date Start date
  • Tags Tags
    Harmonic
AI Thread Summary
A mass of 100 g is undergoing simple harmonic motion with a period of 0.993 seconds, and the goal is to determine the spring constant. The relevant formula used is T = 2π(m/k)^(1/2). The calculations involve rearranging the formula to find k, resulting in k = (2π*m)/T^2. The user is seeking confirmation of their solution before finalizing the answer. The discussion emphasizes the importance of verifying calculations in physics problems.
jago-k1
Messages
13
Reaction score
0

Homework Statement


A mass of 100 g is hanging from a spring and is set into simple harmonic motion. If the period of the pendulum is 0.993 s, what is the spring constant?



Homework Equations



T=2pi(m/k)1/2

The Attempt at a Solution


I just want to make sure its right before I plug in the answer. Thanks.

T^2 = 2pi *(m/k)

k*T^2 = 2pi * m

k = (2pi*m)/T^2 = .637 N
 
Physics news on Phys.org
T^2 = 2pi *(m/k)

T^2 = 4(pi)^2*(m/k)
 
rl.bhat said:
T^2 = 2pi *(m/k)

T^2 = 4(pi)^2*(m/k)
kk, thanks. :)
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Position and acceleration in simple harmonic motion given velocity
Replies
16
Views
1K
What is the Relationship Between Force and Spring Constant?
Replies
14
Views
3K
Acceleration in Harmonic Motion
Replies
1
Views
1K
Initial velocity of bird landing on horizontal wire modeled as spring
Replies
7
Views
931
When Do Sand Particles Slip Off a Vibrating Plate?
Replies
13
Views
1K
Rotating simple harmonic oscillator
Replies
11
Views
1K
Confused about a simple harmonic motion problem....
Replies
3
Views
5K
Finding Parameters for Simple Harmonic Motion at t=1
Replies
1
Views
2K
How to prove that motion is periodic but not simple harmonic?
2
Replies
51
Views
4K
Simple Harmonic motion of a Pendulum
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top