Frequency and angular frequency of sinusoidal vibrations in s.h.m.

AI Thread Summary
The discussion focuses on calculating the frequency and angular frequency of sinusoidal vibrations in simple harmonic motion, given an acceleration amplitude of 10g and a vibration amplitude of 2cm. The frequency was calculated as approximately 11 Hz, leading to an angular frequency of 69 s^-1, which seems unusually high compared to typical examples. Participants suggest that the large values may be justified due to the high acceleration and small displacement amplitude. An alternative equation for angular frequency is also mentioned, yielding a value of 70 s^-1. The accuracy of these calculations remains uncertain, prompting further discussion on the topic.
Bugsy23
Messages
24
Reaction score
0

Homework Statement


I need to calculate the frequency, angular frequency and period of sinusoidal vibrations in simple harmonic motion. The acceleration amplitude is 10g (98.1m s-2) and the vibration amplitude is 2cm

Homework Equations


The equation I have for frequency is
f=(√(a/A))/2*pi
where a is the acceleration amplitude and A is the vibration amplitude
And the angular frequency equation is
\omega=2*pi*f

The Attempt at a Solution



for the frequency I got
f=√(98.1ms-2/2x10-2m)=70/2*pi=11Hz
which seems quite plausible, but when I then try to calculate angular frequency I get
\omega=2pi*11=69s-1
which seems too large a number, since all the examples I have seen have angular frequencies of between about 0 and 3s-1. Is this actually right or have I gone wrong somewhere?
 
Physics news on Phys.org
I think you got the answer right. if you think its large, look at acceleration, it's quite large too, and displacement amplitude is small...
 
Just in addition, I think you can also use the equation a=-ang freq^2 * max displacement. Its much faster, however you get an answer of 70s^-1 for the angular frequency. Which is more accurate i do not know. Somebody'll probably tell me I am wrong now. :)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Difference between resonance in undamped vs damped mass-spring-dashpot
Replies
17
Views
2K
Difference between maximizing amplitude by choosing omega_0 given omega_d versus choosing omega_d given omega_0.
Replies
4
Views
877
When Do Sand Particles Slip Off a Vibrating Plate?
Replies
13
Views
1K
Damped harmonic motion
Replies
3
Views
654
Understanding MIT's applet on sound with Fourier coefficients
Replies
3
Views
1K
Critical frequency of Faraday Waves?
Replies
6
Views
1K
How to solve this problem in sinusoidal motion? (Satellite orbiting the Earth)
Replies
5
Views
655
Rotating simple harmonic oscillator
Replies
11
Views
1K
Resultant Frequency and Wavelength of Interfering Sound Waves
Replies
5
Views
2K
Sum of oscillating frequency and angular velocity
Replies
11
Views
2K

Hot Threads

Recent Insights

Back
Top