The Earth rotates once every 24 hours. What is the angular speed of a point on the Earth's surface in rad/min. Give your answer to five decimal places. Use 3.14 for pi. (example units: m/s, mi/h)
2pi covered in 24 hours = 2pi/24 = pi/12 rad/hour
pi/720 rad/min
A laser pulse takes 2.56 seconds to travel from Earth to the Moon and return. Use this to calculate how far away the Moon is.
To determine the angular speed of a point on the Earth's surface, we can use the formula:
Angular Speed = 2π / Time Period
Given that the Earth rotates once every 24 hours, we can convert this time period to minutes:
Time Period = 24 hours * 60 minutes/hour
Time Period = 1440 minutes
Substituting this value into the angular speed formula:
Angular Speed = 2π / 1440
Angular Speed = (2 * 3.14) / 1440
Angular Speed ≈ 0.00436332 rad/min
To find the angular speed of a point on the Earth's surface, we need to determine the angle that the point traverses in one minute. Since the Earth completes one full revolution in 24 hours (60 minutes), the angular speed can be calculated by dividing the angle of one revolution (360 degrees or 2π radians) by the time it takes to complete one revolution (24 hours or 1440 minutes).
Angular speed (in radians per minute) = (2π radians) / (1440 minutes)
Angular speed = 0.0043633 radians per minute (rounded to five decimal places)
Hence, the angular speed of a point on the Earth's surface is approximately 0.00436 radians per minute.