Question

тело движется по окружности радиусом 10 метров со скоростью 12,56 м/с .Найти период и частоту вращения .​

Answer 1

Ответ:

v = 2pR / T ⇒ T = 2pR / v = 6.28*10 / 12.56 = 5с

n = 1/T = 1/5 = 0.2 Гц

Answer 2

Calculation of Period and Frequency of Circular Motion

To find the period and frequency of an object moving in a circular path with a radius of 10 meters and a speed of 12.56 m/s, we can use the following formulas:

Period (T) is the time taken for one complete revolution around the circle. It is given by the formula:

T = 2πr / v

where: - π is a mathematical constant approximately equal to 3.14159 - r is the radius of the circle - v is the speed of the object

Frequency (f) is the number of complete revolutions per unit of time. It is the reciprocal of the period and is given by the formula:

f = 1 / T

Let's calculate the period and frequency using the given values:

Radius (r) = 10 meters Speed (v) = 12.56 m/s

Using the formula for period:

T = 2πr / v

Substituting the values:

T = (2 * 3.14159 * 10) / 12.56

Calculating the value of T:

T ≈ 6.28 seconds

Using the formula for frequency:

f = 1 / T

Substituting the value of T:

f = 1 / 6.28

Calculating the value of f:

f ≈ 0.1591 Hz

Therefore, the period of the circular motion is approximately 6.28 seconds, and the frequency of the circular motion is approximately 0.1591 Hz.