The Earth is 150 million km from the sun. It completes one orbit in a period of approximately 365.25 days. Calculate the orbital speed of Earth in km/hour.
please helpppp
365.25*24 = h, number of hours
distance = 2 pi r = 6.28* 1.5*10^8 km
speed = distance/hours
To calculate the orbital speed of Earth, we need to determine the distance traveled by Earth in one year (365.25 days) and then convert it to km/hr.
Step 1: Determine the distance traveled by Earth in one year.
The distance traveled by Earth in one year is equal to the circumference of the Earth's orbit around the sun. This can be calculated using the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
Given:
Radius (r) = 150 million km
Circumference:
C = 2πr
C = 2π(150 million km)
C ≈ 300 million π km
Step 2: Convert the distance traveled in one year to km/hr.
Since there are 365.25 days in a year, we need to convert this to hours by multiplying by 24 (the number of hours in a day).
Distance in one year = 300 million π km
Distance in one hour = (300 million π km) / (365.25 days * 24 hours)
Distance in one hour ≈ 107,227.3 km/hr (rounded to the nearest tenth)
Therefore, the orbital speed of Earth is approximately 107,227.3 km/hr.
To calculate the orbital speed of Earth, we first need to determine the distance traveled by Earth in one year. Since Earth completes one orbit in approximately 365.25 days, we can multiply the distance traveled in one day by 365.25 to get the distance traveled in one year.
The distance traveled in one day can be calculated by finding the circumference of Earth's orbit. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius is the distance from Earth to the sun, which is 150 million km.
So, the distance traveled in one day is:
C = 2πr
C = 2π × 150 million km
C ≈ 942.48 million km
Now, we can calculate the distance traveled in one year:
Distance in one year = Distance in one day × 365.25
Distance in one year ≈ 942.48 million km × 365.25
Distance in one year ≈ 344,938.34 million km
Now that we have the distance traveled in one year, we can calculate the orbital speed by dividing it by the number of hours in a year (24 hours in a day × 365.25 days in a year):
Orbital speed = Distance in one year ÷ Number of hours in a year
Orbital speed ≈ 344,938.34 million km ÷ (24 hours/day × 365.25 days/year)
Orbital speed ≈ 29.78 km/hour
Therefore, the orbital speed of Earth is approximately 29.78 km/hour.