Question

Найдите длину математического маятника,если за 30 секунд он совершает 15 колебаний.С формулами,плз.срочно

Answer 1

t=30 c   n=15

T=t/n=2 c

T=2π√(L/g)

L=(T²*g)/(4*π²)=(2²*10)/(4*3.14²)=...... м

Answer 2

Calculating the Length of a Mathematical Pendulum

To calculate the length of a mathematical pendulum, we can use the formula:

Period of a pendulum (T) = 2π * √(L/g)

Where: - T = period of the pendulum - L = length of the pendulum - g = acceleration due to gravity (approximately 9.81 m/s² on the surface of the Earth)

Given that the pendulum completes 15 oscillations in 30 seconds, we can calculate the period (T) using the formula:

T = total time / number of oscillations

Substituting the given values: T = 30 s / 15 = 2 s

Now, we can use the period (T) to find the length (L) of the pendulum using the formula:

T = 2π * √(L/g)

Solving for L: L = (T/2π)² * g

Substituting the known values: L = (2 s / (2 * 3.14))² * 9.81 m/s²

Calculating: L ≈ 0.248 m

So, the length of the mathematical pendulum is approximately 0.248 meters.