Question

Дано: T=5с k=100н/м найти: m-? З.ы. считаю через формулу T=2Пи*корень из массы делённой на жёсткость, но получается слишком большая цифра. может неправильно выразил? помогите

Answer 1

T=2*пи*sqrt(m/k), m=T^2*k/(4*пи^2)

m=25*100/(4*9.86)=63.4 (кг)

Answer 2

Calculation of Mass (m) using the given formula

To find the mass (m) using the given formula T = 2π√(m/k), we need to rearrange the formula to solve for m.

The formula can be rearranged as follows:

m = (T^2 * k) / (4π^2)

Where: - T is the period of oscillation (given as 5 seconds) - k is the spring constant (given as 100 N/m) - m is the mass we want to find

Substituting the given values into the formula, we get:

m = (5^2 * 100) / (4 * π^2)

Calculating this expression, we find:

m ≈ 19.95 kg

Therefore, the mass (m) is approximately 19.95 kg.

Please note that the formula you mentioned, T = 2π√(m/k), is correct. However, it seems that you may have made an error in your calculations.