What is the period of Earth's (nearly) circular motion around the Sun?
(2*pi*r)/T
1 year
(1 year)/(2*pi)
(2*pi)/(1 year)
2*pi*(1 year)
To find the period of Earth's nearly circular motion around the Sun, we can use the formula:
Period (T) = (2π * r) / v
Where:
- T is the period
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of Earth's orbit around the Sun
- v is the velocity of Earth in its orbit around the Sun
From the given options:
- (2π * r) / T: This equation rearranges the original formula and gives the same value as the period.
- 1 year: This is the correct answer. Earth's period of revolution around the Sun is approximately one year.
- (1 year) / (2π): This is the reciprocal value of the original formula, but it does not give the correct period.
- (2π) / (1 year): This is the reciprocal value of the original formula, but it does not give the correct period.
- 2π * (1 year): This would give the circumference of Earth's orbit, rather than the period.
Therefore, the correct answer is 1 year.