Calculating Velocity in Simple Harmonic Motion

AI Thread 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
 
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...
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...
Back
Top