in fig. 15.12, two identical springs of spring constant 7580 n/m are attached to a block of mass 0.245 kg. what is the frequency
1 answer:
The frequency of oscillation on the frictionless floor is 39.6Hz
Frequency is defined as the number of oscillations in unit time.
The net force applied by the springs to bring the block back to equilibrium when it is out of balance is -2kx acting in that direction.
We know that,
a = dx²/dt²
From Newton second law of motion,
F = ma
mdx²/dt² = -2kx
On substituting, x=x' cos(ωt+ϕ) where x' is the position at mean position.
We get, w² = 2k/m
Hence, w =
w =
w = 248.75
Since there are 2π radians in a cycle, and frequency f measures cycles per second,
f = w/2π
On substituting the value of w,
f = 248.75/2π
f = 39.6Hz
Hence, the frequency of oscillation on the frictionless floor is 39.6Hz
Learn more about Frequency here, brainly.com/question/14320803
#SPJ4
You might be interested in
Answer:
when volume and the number of particles are constant
Explanation:
Gay Lussac law states that when the volume of an ideal gas is kept constant, the pressure of the gas is directly proportional to the absolute temperature of the gas.
Mathematically, Gay Lussac's law is given by;
The ideal gas law is the equation PV = nRT
Where;
P is the pressure.
V is the volume.
n is the number of moles of substance.
R is the ideal gas constant.
T is the temperature.
Generally, raising the temperature of an ideal gas would increase its pressure when volume and the number of particles are constant.
This ultimately implies that, when volume and the number of particles are held constant, there would be a linear relationship between the temperature and pressure of a gas i.e temperature would be directly proportional to the pressure of the gas. Thus, an increase in the temperature of the gas would cause an increase in the pressure of the gas at constant volume and number of particles.