Answer:
and 
Explanation:
The tub rotates at constant speed and the kinematic formula to describe the change in angular displacement (
), measured in radians, is:

Where:
- Steady angular speed, measured in radians per second.
- Time, measured in seconds.
If
and
, then:


The change in angular displacement, measured in revolutions, is given by the following expression:


Answer:

Explanation:
Let say the rod is slightly pulled away from its equilibrium position
So here net torque on the rod due to its weight is given as

since rod is pivoted at distance of 1.4 m from centre of gravity
so its moment of inertia about pivot point is given as

now we have

now for small angular displacement we will have

so angular frequency of SHM is given as

now we will have


Answer:
Workdone W = 1465.1 J
Explanation:
The weight of the water = density × volume
weight of the water = 1000 kg/m³ × 100 cm³
weight of the water = 1000 kg/m³ × 0.0001 m³
weight of the water = 0.1 kg
weight of the bucket = 5 kg
weight of the rope = 
= 
Leakage = 
= 
Total weight = 
= 
Force = wg
Force = (
)g
Force = 9.8 (
)
Finally; the amount of work spent in lifting the bucket, rope, and water is calculated as follows:

