0.008hertz is the correct answer
Answer:
<u>Temperature is a quantity which conveys the thermal state of a body (i.e., the degree of hotness or coolness of the body). It determines the direction of the flow of heat when two bodies at different temperatures are placed in contact. The S.I. unit of temperature is Kelvin (K)</u>
Explanation:
good afternoon have gr8 day
Answer:
A) L = 0.496 m, B) the movement of the elevator upwards decreases the angular velocity of the pendulum
Explanation:
A) The motion of a simple pendulum is a harmonic motion with angular velocity
w² = g /L
angular velocity and frequency are related
w = 2π f
we substitute
4π² f² = g /L
L =
let's calculate
L = 9.8 / 4 pi² 0.5
L = 0.496 m
B) To see the effect of the elevator acceleration (aₐ), let's use Newton's second law.
At the acceleration from the vertical direction upwards, let's decompose it is a component parallel to the movement and another perpendicular
sin θ = a_parallel / aₐ
a_parallel = aₐ sin θ
this component of the acceleration is in the opposite direction to the movement of the system, so it must be negative
- W sin θ = m (a - a_parallel)
- mg sin θ = m ()
all angles are measured in radians, therefore the angular displacement is
s = L θ
We solve the system for small angles
sin θ = θ
we substitute
- mg θ + m aₐ θ = m L
this is the same equation of the simple pendulum therefore the angular velocity is
w² =
When analyzing this expression, we see that the movement of the elevator upwards decreases the angular velocity of the pendulum
K= fx => f = k/x => 50N/100cm / 10 cm = 5/10= 0.5 N