The effective spring constant of the system is 39.6 N/m
Explanation:
The frequency of oscillation of a spring-mass system is given by

where
k is the spring constant of the system
m is the mass
In this problem, we have:
f = 29 Hz is the frequency of vibration of the eyeball system
m = 7.5 g = 0.0075 kg is the mass
We can therefore re-arrange the equation to find the effective spring constant of the system. We find:

#LearnwithBrainly
When all parts of a circuit are composed of conducting materials,
then it's possible for current to flow in the circuit, and we say that
the circuit is "closed".
Answer: 20.73m/s
Explanation:
The question simply wants us to calculate the speed of the pitch. The speed will be calculated as:
= Distance/Time
where,
Distance = 85 meters
Time = 4.1 seconds
Speed = Distance/Time
Speed = 85/4.1
Speed = 20.73m/s
Therefore, the speed of the pitch is 20.73m/s.
To solve this problem it is necessary to apply the concepts related to Faraday's law and the induced emf.
By definition the induced electromotive force is defined as


Where,
Electric field
B = Magnetic Field
A = Area
At the theory the magnetic field is defined as,

Where,
N = Number of loops
I = current
Permeability constant
We know also that the cross sectional area, is the area from a circle, and the length is equal to the perimeter then
A = \pi r^2
l = 2\pi r
Replacing at the previous equation we have that

Where,
R = Radius of the solenoid
r = The distance from the axis
Re-arrange to find the current in function of time,

Replacing our values we have


Answer:
d= 7.32 mm
Explanation:
Given that
E= 110 GPa
σ = 240 MPa
P= 6640 N
L= 370 mm
ΔL = 0.53
Area A= πr²
We know that elongation due to load given as



A= 42.14 mm²
πr² = 42.14 mm²
r=3.66 mm
diameter ,d= 2r
d= 7.32 mm