The sun subtends an angle of about 0.5∘ to us on earth, 150 million km away.
Asked by maham237 @ in Geography viewed by 332 People
The Sun subtends an angle if about 0.5° to us on Earth,150 million km away. Estimate the radius of the Sun.
Asked by maham237 @ in Geography viewed by 332 People
The Sun subtends an angle if about 0.5° to us on Earth,150 million km away. Estimate the radius of the Sun.
Answered by maham237 @
We can use the figure attached as a guide to estimate the radius of the Sun.
How?
Well, if we consider the angle , this is the angle subtended.
By definition "the angle subtended (in radians) is given by an arc whose length is equal to the radius ":
(1)
In this case the red arc in the figure is the arc length , the distance between the Earth and the Sun and we need to convert the to radians, as follows:
If: (2)
Then: (3)
Now we can substitute (3) in (1):
(4)
and find the arc length :
(5)
Approximating this arc length to the diameter of the Sun, we can say that
But, we are asked to estimate the radius of the Sun, and we can find it knowing the radius is one half of the diameter:
(6)
Finally we get the estimation of the radius of the Sun:
Asked by admin @ in Mathematics viewed by 307 persons
Asked by admin @ in Math viewed by 276 persons
Asked by admin @ in Mathematics viewed by 273 persons
Asked by admin @ in Mathematics viewed by 370 persons
Asked by admin @ in Physics viewed by 291 persons
Asked by admin @ in Physics viewed by 248 persons
Asked by admin @ in Geography viewed by 307 persons
Asked by admin @ in Physics viewed by 320 persons
Asked by admin @ in Social Sciences viewed by 276 persons
Asked by admin @ in Physics viewed by 388 persons
Asked by admin @ in Math viewed by 344 persons
Asked by maham237 @ in Mathematics viewed by 313 persons
Asked by admin @ in Geography viewed by 420 persons
Asked by admin @ in Social Studies viewed by 292 persons
Asked by admin @ in Geography viewed by 294 persons
Asked by admin @ in Geography viewed by 4648 persons
Asked by admin @ in Geography viewed by 1872 persons
Asked by admin @ in Geography viewed by 1599 persons
Asked by maham237 @ in Geography viewed by 982 persons
Asked by wiki @ in Geography viewed by 972 persons
Asked by admin @ in Geography viewed by 957 persons
Asked by admin @ in Geography viewed by 908 persons
Asked by admin @ in Geography viewed by 879 persons
Asked by maham237 @ in Geography viewed by 868 persons
Asked by admin @ in Geography viewed by 865 persons
Asked by maham237 @ in Geography viewed by 831 persons
Asked by maham237 @ in Geography viewed by 789 persons