Calculating Velocity in Simple Harmonic Motion

Click For Summary
The position of a 49 g oscillating mass is described by the equation x(t) = (2.3 cm) cos(11t). To find the velocity at t = 0.43s, the correct formula v(t) = -vmax sin(2πft) is applied. An initial calculation yielded 0.0206 m/s, which was incorrect due to using degrees instead of radians. The correct maximum velocity is 0.25 m/s, highlighting the importance of using the correct units in calculations. Small errors in unit conversion can lead to significant frustration in solving physics problems.
TerikE
Messages
3
Reaction score
0

Homework Statement



The position of a 49 g oscillating mass is given by x(t)= (2.3cm) cos 11t , where t is in seconds.
Determine the velocity at t = 0.43s

Where:
f= 1.75
t=0.43s
vmax=0.25 m/s

Homework Equations



I'm using v(t)= -vmax sin (2pi*f*t)

The Attempt at a Solution



Using above equation and variables I get 0.0206, which is wrong (mastering physics).

Can't figure this one out..
 
Last edited:
Physics news on Phys.org
Annnnd.. I was in deg and not rad.. Funny how something so small can cause such great frustration. Answer is .25
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Position and acceleration in simple harmonic motion given velocity
  • · Replies 16 ·
Replies
16
Views
2K
How to prove that motion is periodic but not simple harmonic?
  • · Replies 51 ·
2
Replies
51
Views
4K
Solving for Simple Harmonic Motion: A Picture Problem
  • · Replies 1 ·
Replies
1
Views
2K
Energy of particle in simple harmonic motion
  • · Replies 13 ·
Replies
13
Views
1K
Simple harmonic motion equation
  • · Replies 3 ·
Replies
3
Views
2K
Zero Amplitude Damped Simple Harmonic Motion with k=0.7s^-1 and f=3Hz
  • · Replies 5 ·
Replies
5
Views
2K
How to derive a formula for simple harmonic motion?
  • · Replies 1 ·
Replies
1
Views
2K
When Do Sand Particles Slip Off a Vibrating Plate?
  • · Replies 13 ·
Replies
13
Views
1K
Finding Parameters for Simple Harmonic Motion at t=1
  • · Replies 1 ·
Replies
1
Views
2K
Rotating simple harmonic oscillator
  • · Replies 11 ·
Replies
11
Views
2K