142k views
3 votes
A day on a distant planet observed orbiting a nearby star is 72.5 hours. Also, a year on the planet lasts 48.9 Earth days. Calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on Earth. Number 2.4x 10-4 rad/ s Calculate the average angular speed of the planet as it travels around its neighboring star, with the second as measured on Earth. Number 1.5x 105 rad/s In other words, for the purposes of unit conversion there are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute, as it would for astronomers on Earth observing the planet Incorrect

2 Answers

2 votes

Final answer:

The average angular speed of the planet about its axis of rotation is 2.4 x 10^-4 radians per second. The average angular speed of the planet as it travels around its neighboring star is 1.5 x 10^5 radians per second.

Step-by-step explanation:

To calculate the average angular speed of the planet about its axis of rotation, divide the angle of rotation by the time taken. The angle of rotation is 2π radians (a full revolution) and the time taken is 72.5 hours, which is equivalent to 2.9 days. Therefore, the average angular speed is 2π radians / 2.9 days = 2π/2.9 radians per day. To convert this to radians per second, divide by the number of seconds in a day (24 hours * 60 minutes * 60 seconds). The average angular speed is approximately 2.4 x 10^-4 radians per second.

To calculate the average angular speed of the planet as it travels around its neighboring star, divide the angle of rotation by the time taken. The angle of rotation is 2π radians (a full revolution) and the time taken is 48.9 Earth days. Therefore, the average angular speed is 2π radians / 48.9 days. To convert this to radians per second, divide by the number of seconds in a day. The average angular speed is approximately 1.5 x 10^5 radians per second.

User Morwenn
by
5.0k points
2 votes

Answer:GOT IT!

Step-by-step explanation: A day on a distant planet observed orbiting a nearby star is 21.5 hours. also, a year on the planet lasts 59.1 earth days.* calculate the average angular speed of the planet about its own axis of rotation in radians per second, with the second as measured on earth.

A day on a distant planet observed orbiting a nearby star is 72.5 hours. Also, a year-example-1
User Lukasz Gawrys
by
4.9k points