Answer:
9.35*10^11 m
525600 minutes
31536000 seconds
29648.7 m/s
5.91*10^-3 rad/s²
Step-by-step explanation:
a)
The circumference of the circle through which the earth orbits = 2πr, where r = 93000000
d = 186000000 * π mi
To convert this to meters, we say
d = 1600 * 186000000 * π m
d = 9.35*10^11 m
b)
The period of the Earth's revolution (T) in minutes is given by 365 days * 24 hours per day * 60 mins per hour
T = 365 * 24 * 60 mins
T = 525600 minutes
c)
Period of the earth's revolution in seconds (T') = T * 60 seconds per minute
T' = 60 * T secs
T' = 31536000 seconds
d)
Tangential velocity of the earth is
velocity = distance/time
velocity = 9.35*10^11 / 31536000
velocity = 29648.7 m/s
e)
Centripetal acceleration of the motion a = v²/r
a = velocity / radius in m
a = 29648.7² / 1.488*10^11
a = 8.79*10^8 / 1.488*10^11
a = 5.91*10^-3 rad/s²