Question

8. Тело движется по окружности радиусом 80 см со скоростью 5 м/с. Вычислите частоту и период обращения тела.​

Answer 1

Ответ:

1 с    1 Гц

Объяснение:

R=0.8 м     V=5 м/с    T=?    v=?

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T=2*π*R/V=2*3.14*0.8/5=1 c

v=1/T=1 Гц

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Answer 2

Calculation of Frequency and Period of Circular Motion

To calculate the frequency and period of an object moving in a circle, we need to use the formula:

Frequency (f) = 1 / Period (T)

where: - Frequency (f) is the number of complete revolutions or cycles per unit of time (measured in Hertz, Hz). - Period (T) is the time taken for one complete revolution or cycle (measured in seconds, s).

Given: - Radius of the circle (r) = 80 cm = 0.8 m - Speed of the object (v) = 5 m/s

We can calculate the frequency and period using the following steps:

1. Calculate the circumference of the circle using the formula: Circumference (C) = 2 * π * r where π (pi) is a mathematical constant approximately equal to 3.14159.

2. Calculate the time taken for one complete revolution using the formula: Period (T) = Circumference (C) / Speed (v)

3. Calculate the frequency using the formula: Frequency (f) = 1 / Period (T)

Let's calculate the frequency and period of the object moving in a circle with a radius of 80 cm and a speed of 5 m/s.

Calculation:

1. Calculate the circumference: C = 2 * π * r C = 2 * 3.14159 * 0.8 C ≈ 5.026548 m

2. Calculate the period: T = C / v T = 5.026548 / 5 T ≈ 1.00531 s

3. Calculate the frequency: f = 1 / T f = 1 / 1.00531 f ≈ 0.9947 Hz

Therefore, the frequency of the object's motion is approximately 0.9947 Hz, and the period is approximately 1.00531 seconds.

Please note that the calculations are approximate due to rounding.