Calculating Time for a 90 Degree Turn in Circular Motion

AI Thread Summary
To calculate the time for a pilot to make a 90-degree turn with a radius of 50.0 meters at a speed of 26.0 m/s, the formula used is time = 1/4 * 2πR/v. This formula derives from the total time to complete a full circle, T = 2πR/v, divided by four, since a 90-degree turn is one-fourth of a full circle. The discussion clarifies that the tangential acceleration equation is unnecessary for this calculation. The key takeaway is that using the constant speed and the radius allows for straightforward computation of the time required for the turn. Understanding these relationships is essential for solving similar problems in circular motion.
billu77
Messages
8
Reaction score
0

Homework Statement



A pilot makes a turn of radius 50.0 meters at a speed of 26.0m/sec. How long will it take him to make a 90 degree turn?

Homework Equations



tangential acceleration = final velocity - initial velocity/time

The Attempt at a Solution



tangential acceleration = final velocity - 26/t
stuck at this point...unable to find final velocity from here?
 
Physics news on Phys.org
You actually don't need that equation. How much distance does he have to cover to turn 90 degrees? How fast is he turning? (Hint: it's 26.0 m/s.) How much time does it take?
 
Since speed is constant, time = 1/4* 2πR/v.
 
rl.bhat said:
Since speed is constant, time = 1/4* 2πR/v.

thanks...could u please explain how u got to that formula.
the one I have in book is:

T= 2\pir/v

thanks
 
That T= 2LaTeX Code: \\pi r/v is the time it needs to cover a full circle (360*)
So what's the time to cover 1/4 360*?

Thats time=T/4 = 1/4* 2πR/v.
 
Thread 'Struggling to make relation between elastic force and height'
Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Back
Top