Explanation:
Given that,
Mass of the hamster, m = 0.139 kg
Diameter of the wheel, d = 20.8 cm
Radius, r = 10.4 m
Frequency of the wheel, f = 1 Hz
Time, t = 0.823 s
(a) There exist a relationship between the tangential and angular acceleration of the wheel. It is given by :

Since, 




(b) In radial direction, applying the second law of motion as :

a is the radial acceleration, 








Hence, this is the required solution.
Answer:
Explanation:
Electrical energy = potential x charge
potential = 12V ,
Charge = 95 amp-hours
= 95 x 60 x 60 coulomb
= 342000 coulomb
Electrical energy stored in battery = 342000 x 12
= 4104000 J
= 4.1 x 10⁶ J .
Answer:
Induced current, I = 0.5 A
Explanation:
It is given that,
number of turns, N = 20
Area of wire, 
Initial magnetic field, 
Final magnetic field, 
Time taken, t = 2 s
Resistance of the coil, R = 0.4 ohms
We know that due to change in magnetic field and emf will be induced in the coil. Its formula is given by :

Where





Let I is the induced current in the wire. It can be calculated using Ohm's law as :



I = 0.5 A
So, the magnitude of the induced current in the coil is 0.5 A. Hence, this is the required solution.
A material that resists the flow of electrons is called an insulator.