Simple Harmonic Motion: Determine Velocity at t=0.250s

AI Thread Summary
The discussion revolves around calculating the velocity of a 39.8 g oscillating mass at t=0.250s using the position equation x(t) = (2.00cm)cos(5t - 4.00π). The correct formula for velocity is V_x = -ωA sin(ωt + φ), where the user initially miscalculated the velocity due to unit conversion errors. After clarification, it was noted that the velocity should be expressed in cm/s instead of m/s. The key takeaway is the importance of unit consistency in calculations. Understanding the relationship between velocity and position is crucial for solving harmonic motion problems effectively.
Moe*
Messages
10
Reaction score
0
_{}b]1. Homework Statement [/b)

The position of a 39.8 g oscillating mass is given by the equation x(t)= (2.00cm)cos(5t- 4.00\pi) where t is in seconds. Determine Velocity at t= 0.250s

M= 39.8 g
T= 1.2575 rad/s
K= 9.95e-1 N/m
initial postion= 2 cm

Homework Equations



V_{x}= -\omegaAsin(\omegat + \phi)

The Attempt at a Solution



the attempt i just substitued
V_{x}= -5 rad/s*2sin( 5.00(0.250)-4\pi)... but this didn't work and i don't understand why?
 
Physics news on Phys.org
for the the equations posted its supposed to be V subscript x= wAsin(wt + phi) and x(t) = (2.00cm)cos(5t - 4pi)
 
Moe* said:
The position of a 39.8 g oscillating mass is given by the equation x(t)= (2.00cm)cos(5t- 4.00\pi) where t is in seconds. Determine Velocity at t= 0.250s

What is the basic relation connecting velocity and position of any particle? Use that.
 
Moe* said:
_{}b]1. Homework Statement [/b)

The position of a 39.8 g oscillating mass is given by the equation x(t)= (2.00cm)cos(5t- 4.00\pi) where t is in seconds. Determine Velocity at t= 0.250s

M= 39.8 g
T= 1.2575 rad/s
K= 9.95e-1 N/m
initial postion= 2 cm

Homework Equations



V_{x}= -\omegaAsin(\omegat + \phi)

The Attempt at a Solution



the attempt i just substitued
V_{x}= -5 rad/s*2sin( 5.00(0.250)-4\pi)... but this didn't work and i don't understand why?
it seems work to me...
 
Your right it does work, i guess I entered in the wrong units when i answered the question( m/s instead of cm/s).
 

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

How to prove that motion is periodic but not simple harmonic?
2
Replies
51
Views
3K
Position and acceleration in simple harmonic motion given velocity
Replies
16
Views
1K
Energy of particle in simple harmonic motion
Replies
13
Views
1K
An object oscillating in simple harmonic motion
Replies
6
Views
3K
Damped harmonic motion
Replies
3
Views
600
Initial velocity of bird landing on horizontal wire modeled as spring
Replies
7
Views
921
Simple Harmonic Motion in x direction
Replies
10
Views
2K
Zero Amplitude Damped Simple Harmonic Motion with k=0.7s^-1 and f=3Hz
Replies
5
Views
1K
When Do Sand Particles Slip Off a Vibrating Plate?
Replies
13
Views
1K
How to derive a formula for simple harmonic motion?
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top