Centripetal and Tangencial Accelaration

AI Thread Summary
The discussion revolves around a physics problem involving a car with a mass of 500 kg on a circular track with a 50 m radius, where the velocity increases by 2 m/s. The participant seeks help with three parts of the problem: determining the angular position, calculating the angular velocity after one lap, and finding the time when centripetal acceleration equals tangential acceleration. The participant has calculated the angular position as a function of time and the angular velocity as 0.7 rad/s, which others confirm as correct. The main challenge lies in equating centripetal and tangential acceleration, with additional requests for resources on two-dimensional motion.
martcapt
Messages
2
Reaction score
0

Homework Statement


English is not my first language from the beginning I apologize for any mistakes in scientific terms, anyhow.
Car with 500kg.
No initial velocity, and from origin or the referential.
Circular track, 50m radius.
The module of the velocity increases in 2m/s


Homework Equations


I can't post the damn symbols for some reason but I believe this is a very simple problem.. Sorry


The Attempt at a Solution



Well there are three parts
Indication of the angular position
Indication of the angular velocity after a lap.
Indication of the time in witch the centripetal acceleration is the same as the tangential acceleration

The first two I'm pretty sure of the results it gave me 0.02t(squared) on the first and angular velocity=0.7rad/s on the second, if someone would be as so kind as checking this I would really apreciate it, but the problem in witch I'm having trouble is the third, this is the only thing I have done so far:

at=ac
2=v(squared)/r
v=10

sorry for bothering, but my teacher has the bad habit of giving exercises with no solution and I would really apreciate one for this one :)

Anyways so as to not create another thread if someone happens to know some condensed but thorough material in two dimensional motion, it would be great :)
thanks.
 
Physics news on Phys.org
You have to be a little clearer in stating the problem. I gather that the tangential acceleration is 2 m/sec^2. Is the first question: what is the angular position as a function of time? Is the second question: what is the angular velocity after one complete rotation ie through an angle of 2\pi radians? and is the third question: at what time will the centripetal acceleration be equal in magnitude to the tangential acceleration?

AM
 
Correct on all three.
Sorry,I'm not used to writing this stuff in text, and in english
 
Last edited:
martcapt said:
Correct on all three.
Then your answers to the first two questions are correct.

AM
 
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...
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}...
Back
Top