Answer:
N = 2500
Explanation:
By definition, the sampling frequency (fs) is:

<em>where N: is the number of samples and T: is the time</em>
Hence, the number of samples at the sampling frequency, 500 Hz, to get 5 seconds of data is:
I hope it helps you!
Answers:
A) 
B) 22. 5 N
Explanation:
A) Since this situation is related to uniform circular motion, the centripetal acceleration
of the child is calculated by:
Where:
is the speed
is the child's distane to the center (the radius)
Hence:
B) Knowing th centripetal acceleration and the mass
of the child, we can calculate the net horizontal force
by:



Answer:
Current amplitude, I = 5.57 A
Explanation:
It is given that,
Effective resistance, R = 22 ohms
Inductive reactance, L = 72 ohms
Voltage of the alternating source, V = 420 volt
The total impedance of the RL circuit is given by :


Z = 75.28 ohms
From Ohm's law,



I = 5.57 A
So, the current amplitude of the electric motor is 5.57 A. Hence, this is the required solution.
Answer:
d = 9.69 cm
Explanation:
given,
mass of the block = 1.2 Kg
spring force constant(k) = 730 N/m
spring is compressed = d = ?
rough patch width = 5 cm
μ_k = 0.44
work done by friction = energy lost




d = 0.0969 m
d = 9.69 cm