Understanding Uniform Acceleration: Explained in Simple Terms

AI Thread Summary
Uniform acceleration refers to a constant rate of change in velocity, where an object accelerates smoothly without fluctuations. Examples include the consistent acceleration of a car using advanced transmission systems, where the experience feels seamless as speed increases. In contrast, non-uniform acceleration involves varying rates, such as a car's performance during a drag race or children on a merry-go-round, where speed surges occur. Understanding uniform acceleration is crucial for solving real-world problems, including designing roller coasters. This concept simplifies many scenarios in physics and engineering.
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What's Uniform acceleration??

Can anybody please tell me or explain to me an easy way of what uniform acceleration is? I don't understand what my teacher is telling us!:cry:
 
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Maybe the best way to answer is what constitutes non-uniform acceleration.
Very easy example to consider is your car. Both horsepower and torque vary with RPM. So in doing a drag race scenario, you start in first gear and experience lively acceleration, the push back into the seat, the speedometer climbing rapidly, and then... the motor won't deliver. If you have a car like mine it will even cause fuel stoppage when you hit the REDline. Uniform acceleration is what technology is pushing us towards with 6 gears automatic transmissions and even beyond with continuously variable transmissions.

You feel no change from flooring it and reaching 100MPH. Its all so smooth.

Gravity is like this. Slowing your car is like this, (if you discount brake fade).

Maybe another example of non constant acceleration, kids on a merry go round pushed by friends. Every time they push a surge in speed, and overtime a buildup of speed, but not the same sensation as if we hook up motor and program it to reach the same speed without any surges ober 20 seconds.
Anytime a real thrill is involved, likely non-uniform, but to get back to usual teaching acceleration is constant. This is tremendously helpful property in lots of real world scenarios, that allow a solution to many problems and make roller coasters possible.

This help at all?
 
Last edited:
denverdoc said:
Maybe the best way to answer is what constitutes non-uniform acceleration.
Very easy example to consider is your car. Both horsepower and torque vary with RPM. So in doing a drag race scenario, you start in first gear and experience lively acceleration, the push back into the seat, the speedometer climbing rapidly, and then... the motor won't deliver. If you have a car like mine it will even cause fuel stoppage when you hit the REDline. Uniform acceleration is what technology is pushing us towards with 6 gears automatic transmissions and even beyond with continuously variable transmissions.

You feel no change from flooring it and reaching 100MPH. Its all so smooth.

Gravity is like this. Slowing your car is like this, (if you discount brake fade).

Maybe another example of non constant acceleration, kids on a merry go round pushed by friends. Every time they push a surge in speed, and overtime a buildup of speed, but not the same sensation as if we hook up motor and program it to reach the same speed without any surges ober 20 seconds.
Anytime a real thrill is involved, likely non-uniform, but to get back to usual teaching acceleration is constant. This is tremendously helpful property in lots of real world scenarios, that allow a solution to many problems and make roller coasters possible.

This help at all?
yes it did! wow
 
Thanks alot!
 
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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}...
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.
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