Assuming that the planet Venus moves in a circular orbit of radiua 112 million km around the Sun and that it completes one revolution in 200 days, calculate the speed of Venus. Express your answer in scientific notation in km/h and use ð = 3 1/7.
Assume the orbit to be a circle. The orbital speed is
[2*(22/7)*112*10^6 km]/[(200 days)*24 h/day]
Do the numbers and round off to three significant figures
uhm, is that
[2 x (22/7) x 112 x 10^6 km] / (200 days) x 24 h/day] ?
Where did the 22/7 come from? i calculated it and it came out to be 8.448 x 10^(7).
My textbook's answer says 1.47 x 10^(5) km/h.
could you further explain the question? and what you do with the pi.
Thanks :)
I also calculated the expression given by drwls and got 1.4666 x 10^5
drwls used 22/7 because your question suggested to use pi = 3 1/7 or 22/7
(btw, I know why you got your incorrect answer, you must divide by both 200 and 24, you divided by 200 but then multiplied by 24)
Assuming that the planet Venus moves in a circular orbit of radiua 112 million km around the Sun and that it completes one revolution in 200 days, calculate the speed of Venus. Express your answer in scientific notation in km/h and use ð = 3 1/7.
3 1/7 = 22/7
Orbit circumference = 2(112x10^6)22/7 = 7.04x10^8.
Orbital period = 200(24) = 4800 hours
Orbital velocity = 7.04x10^8/4800 = 1.46666x10^6 km/hr.
Rounded off = 1.47x10^5
To calculate the speed of Venus, we need to find the circumference of its circular orbit and divide it by the time taken for one revolution.
The formula to calculate the circumference of a circle is:
Circumference = 2πr
Given that the radius of Venus' orbit is 112 million km, we can substitute this value into the formula:
Circumference = 2 * 3 1/7 * 112 million km
Simplifying the calculation:
Circumference = 6 2/7 * 112 million km
Now, we need to find the time taken for one revolution. The question tells us that Venus completes one revolution in 200 days.
The formula to calculate speed is:
Speed = Distance / Time
Since we have already calculated the circumference (which is equal to the distance traveled in one revolution), we can substitute it into the formula:
Speed = Circumference / Time
= (6 2/7 * 112 million km) / 200 days
Now, let's convert the speed from km/day to km/h. Since there are 24 hours in a day, we can multiply the speed by 24:
Speed = [(6 2/7 * 112 million km) / 200 days] * 24 hours/day
Finally, we can now calculate the speed of Venus in km/h by evaluating the expression:
Speed = [(6 2/7 * 112 million km) / 200 days] * 24 hours/day
Evaluating the expression:
Speed ≈ 38.4 million km/h
Therefore, the speed of Venus is approximately 38.4 million km/h (in scientific notation, this is 3.84 * 10^7 km/h).