Answer:

Explanation:
The equation for centripetal acceleration is
.
We know the wheel turns at 45 rpm, which means 0.75 revolutions per second (dividing by 60), so our frequency is f=0.75Hz, which is the inverse of the period T.
Our velocity is the relation between the distance traveled and the time taken, so is the relation between the circumference
and the period T, then we have:

Putting all together:

The total energy of the system remains the same.
Answer:
1.475×10²⁴ W
Explanation:
I = Solar constant of the sun = 1362 W/m² (measured using satellites with value 1.3608 ± 0.0005 kW/m² the error is due to fact that solar output is not always constant)
r = Radius of earth = 6371 km = 6371000 m (mean radius)
A = Area of earth = (4/3)×π×r³
=(4/3)×π×6371000³ = 1.083×10²¹ m²
P = I×A
⇒P = 1362×1.083×10²¹
⇒P = 1.475×10²⁴ W
∴ Rate at which the whole Earth receives energy from the Sun is 1.475×10²⁴ W
The answer should be c....