Calculating Time for a 90 Degree Turn in Circular Motion

In summary, to find the time it takes for a pilot to make a 90 degree turn at a speed of 26.0 m/s and a radius of 50.0 meters, we can use the formula t= 1/4* 2πR/v. This is because the pilot only needs to cover 1/4 of a full circle (90 degrees) to make the turn, and the speed is constant so we don't need to use the tangential acceleration equation.
  • #1
billu77
8
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?
 
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  • #2
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?
 
  • #3
Since speed is constant, time = 1/4* 2πR/v.
 
  • #4
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[tex]\pi[/tex]r/v

thanks
 
  • #5
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.
 

FAQ: Calculating Time for a 90 Degree Turn in Circular Motion

What is circular motion plane problem?

Circular motion plane problem is a physics problem that involves an object moving in a circular path on a horizontal plane. The object's motion is constrained to the plane and it experiences a centripetal acceleration towards the center of the circle.

What is the difference between uniform circular motion and non-uniform circular motion?

Uniform circular motion is when an object moves at a constant speed along a circular path, while non-uniform circular motion is when the object's speed or direction changes as it moves along the circular path.

How is the centripetal force related to circular motion plane problem?

The centripetal force is the force that keeps an object moving in a circular path. In circular motion plane problem, the centripetal force is provided by the tension force in a string or the normal force from a surface, depending on the specific problem.

What is the equation for calculating the centripetal force in circular motion plane problem?

The equation for calculating the centripetal force is Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the speed, and r is the radius of the circle.

How does the radius of the circle affect the centripetal force in circular motion plane problem?

The centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circle. This means that as the radius increases, the centripetal force decreases and vice versa.

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