Question

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

Answer 1

Ответ:

V=2πR/T =2πRf, где Т период, f частота

80 cм =0.8 м

T=2πR/V= 1 с

f= V/2πR= 1 гц

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 following formulas:

Frequency (f) is the number of complete revolutions or cycles per unit of time and is given by the formula:

f = v / (2πr)

where: - v is the velocity of the object - r is the radius of the circle

Period (T) is the time taken for one complete revolution or cycle and is given by the formula:

T = 1 / f

Let's calculate the frequency and period for the given scenario.

Given: - Radius (r) = 80 cm = 0.8 m - Velocity (v) = 5 m/s

Using the formula for frequency, we can calculate:

f = v / (2πr)

Substituting the given values:

f = 5 / (2π * 0.8)

Calculating the value:

f ≈ 0.994 Hz

Using the formula for period, we can calculate:

T = 1 / f

Substituting the calculated value of frequency:

T = 1 / 0.994

Calculating the value:

T ≈ 1.006 s

Therefore, the frequency of the object's motion is approximately 0.994 Hz, and the period of its motion is approximately 1.006 seconds.

Please note that the calculations are approximate due to rounding off the values.