Wall clock diameter 20 cm. Determine the movement speed of the end of the minute hand.
June 29, 2021 | education
| We express the speed of movement of the end of the minute hand of the clock by the formula:
V = 2Π * R / T, where R is the radius of the wall clock (R = 0.5D, where D = 20 cm = 0.2 m, R = 0.5 * 0.2 = 0.1 m), T – the period of rotation of the end of the minute hand (T = 60 min = 60 * 60 = 3600 s).
Let’s calculate the speed of movement of the end of the minute hand:
V = 2Π * R / T = 2 * 3.14 * 0.1 / 3600 = 1.74 * 10 ^ -4 m / s.
V = 3.49 * 10 ^ -4 * 1000/3600 = 4.83 * 10 ^ -5 km / h.
Answer: The speed of the end of the minute hand is 1.74 * 10 ^ -4 m / s or 4.83 * 10 ^ -5 km / h.
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