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How long does it take a plane, traveling at a constant speed of 110 m/s, to fly once around a circle whose radius is 2850 m?
$=163s$
Physics 101 Mechanics
Chapter 5
Dynamics of Uniform Circular Motion
Newton's Laws of Motion
Applying Newton's Laws
Rutgers, The State University of New Jersey
Hope College
McMaster University
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in this problem, we have to find the amount of time it takes for a plane to fly in a circle with a given constant velocity and radius on. So the time that it takes for object to complete one revolution is known as the period which is given by the Capital Letter T. And so we know that the equation for team is to pi over Omega, where omega is the angular velocity. He also knew an equation for Omega um which is that comes in the fact that V makeover are so no mega obviously must be be over our dead. From there we can rewrite our tea in terms of known variables. So it becomes t equals two pi r overby. And now all that's left for us to do is plug it. We get to pie comes a radius, which is 202,000, 850 meters. You know, velocity which 110 meters per second running out a route. And then when we put it into a calculator that is going to be equal to 162.79 our units are meters. They're gonna cancel out. We're just gonna be left with, Ah, units of seconds. Which makes sense, since period is always given seconds at this time, and that is going to be approximately equal to 163 seconds, which is our final answer.
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