Question
1. An object is spun around in a circle of radius 06 m with a period of 1.2s What is the magnitude of the velocity? Formula V=? r=0.6m r=1.25
Solution
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BartholomewExpert · Tutor for 3 years
Answer
The formula you're looking for relates the velocity (v) of an object in uniform circular motion to the radius (r) of the circle and the period (T) of the motion. The period is the time it takes to complete one full revolution.<br /><br />The circumference of the circle represents the distance traveled in one period. The circumference is given by C = 2πr.<br /><br />Velocity is distance divided by time, so:<br /><br />v = C / T = (2πr) / T<br /><br />Now, we can plug in the given values:<br /><br />v = (2 * π * 0.6 m) / 1.2 s<br /><br />v = (1.2π m) / 1.2 s<br /><br />v = π m/s<br /><br />Therefore, the magnitude of the velocity is approximately 3.14 m/s.<br />
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