Calculating Revolutions in Non-Uniform Circular Motion

AI Thread Summary
A car accelerates from rest on a curve with a radius of 190 m at 1.20 m/s², aiming to determine how many revolutions it completes when its total acceleration reaches 3.10 m/s². The total acceleration is calculated using the equation A² = At² + Ac², leading to a centripetal acceleration (Ac) of 2.85 m/s². This results in a tangential velocity (v) of 23.304 m/s. The time taken to reach this velocity is calculated as 19.42 seconds, but the distance traveled is incorrectly calculated as 226 m. The discussion highlights the need to convert this distance into revolutions for the final answer.
darko21
Messages
6
Reaction score
0

Homework Statement


A car starts from rest on a curve with a radius of 190 m and accelerates at 1.20 m/s^2 . How many revolutions will the car have gone through when the magnitude of its total acceleration is 3.10 m/s^2 ?

Homework Equations


A^2=At^2 + Ac^2
Ac=v^2/r
x=(1/2)at^2
Vf=at

The Attempt at a Solution


3.1^2=1.2^2+Ac^2
Ac=2.85

2.85=v^2/190
v=23.304

23.304=1.2t
t=19.42

x=(1/2)(1.2)(19.42)^2
x=226 (wrong)
 
Physics news on Phys.org
Did you forget to convert 226 m to the number of revolutions?
 
LOL thanks!
 
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 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Circular Motion With Constant Angular Acceleration
Replies
3
Views
2K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Find the acceleration in circular motion
Replies
6
Views
2K
Car that undergoes non-uniform circular motion
Replies
1
Views
1K
Circular Motion Questions (energies, forces, angular velocities, etc.)
Replies
2
Views
1K
Question Regarding Circular Motion and Normal Forces
Replies
2
Views
3K
In the circular motion below, what will be the velocity?
Replies
14
Views
2K
Understanding T = (Seconds/Revolutions) in Uniform Circular Motion
Replies
3
Views
1K
Uniform Circular Motion and Projectile Motion Help
Replies
14
Views
2K
Uniform Circular Motion question
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top