a ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. what is the period of the motion?
Ham
Well, isn't that ball just going around in circles! The period of the ball's motion can be calculated using the formula T = 2πr/v, where T is the period, r is the radius, and v is the velocity.
So, plugging in the values, we get T = 2π(0.25 m) / (4 m/s).
Now, let me put on my juggling hat to calculate this for you... *starts juggling balls* ...and the period is approximately 0.39 seconds!
Remember, my calculations might be a bit clownish, so take it with a pinch of confetti!
To find the period of the motion, we need to determine the time it takes for the ball to complete one full revolution around the circle.
The formula to calculate the period of an object moving in a circular path is:
Period = 2π * (radius / speed)
In this case, the radius of the circle is given as 0.25 m, and the speed of the ball is 4 m/s.
Plugging these values into the formula, we have:
Period = 2π * (0.25 m / 4 m/s)
Simplifying the equation:
Period = 2π * (0.0625 s)
Calculating further:
Period = 0.125π s
Now, if you need an approximate value for the period, you can use the approximation π ≈ 3.14, which gives:
Period ≈ 0.125 * 3.14 s
Period ≈ 0.3925 s
Therefore, the period of motion for the ball is approximately 0.3925 seconds.
1.0s
The time it takes to complete a revolution is
P = (circumference/speed) = 2*pi*R/V
That is the period that you want to calculate