Question
1. An object is spun around in a circle of radius 06 m with a period of 1.2s. What I the magnitude of the velocity? Formula T=
Solution
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NayaMaster · Tutor for 5 years
Answer
Here's how to calculate the magnitude of the velocity:<br /><br />**1. Understand the relationship between period, velocity, and radius:**<br /><br />The period (T) is the time it takes for one complete revolution. The velocity (v) of an object in circular motion is the distance it travels in one revolution divided by the period. The distance of one revolution is the circumference of the circle, which is 2πr, where r is the radius.<br /><br />**2. Formula:**<br /><br />The formula relating these quantities is:<br /><br />v = (2πr) / T<br /><br />**3. Plug in the values:**<br /><br />* r = 0.6 m<br />* T = 1.2 s<br /><br />v = (2 * π * 0.6 m) / 1.2 s<br /><br />**4. Calculate:**<br /><br />v ≈ 3.14 m/s<br /><br />**Therefore, the magnitude of the velocity is approximately 3.14 m/s.**<br />
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