Explanation :
It is given that,
Diameter of the coil, d = 20 cm = 0.2 m
Radius of the coil, r = 0.1 m
Number of turns, N = 3000
Induced EMF,
Magnitude of Earth's field,
We need to find the angular frequency with which it is rotated. The induced emf due to rotation is given by :
So, the angular frequency with which the loop is rotated is 159.15 rad/s. Hence, this is the required solution.
Answer:
Turn the heater on
Explanation:
There are two main forces involved in a balloon flight
The downward force is the total weight of the balloon: the air it contains, the gas bag, the basket, the passengers, etc.
The upward force is the weight of the of the air the balloon displaces.
During level flight ,
buoyant force = weight of displaced air - total weight of balloon
If you increase the temperature of the air in the bag, the air molecules spread out and leave through the bottom of the bag.
The balloon still has the same volume, so the weight of displaced outside air stays the same.
However, the balloon has lost some hot inside air, so its total weight decreases.
The upward force is greater than the downward force, so the balloon rises.
Answer:
stress = 16.9 MPa
Explanation:
The stress in the cable can be calculated as:
Where F is the force and A is the area. So, the area can be calculated as:
Where r is the radius. Since the radius is half the diameter, the radius is 4.0 mm and the area will be equal to:
Then, replacing the force F by 850 N, and A by 50.24 mm², we get that the stress is equal to:
Therefore, the answer is 16.9 MPa