The radius of the earth’s very nearly circular orbit around the sun is 
.
Find the magnitude of the earth’s velocity as it travels around thesun. Assume a year of 365 days.
Express your answer using two significant figures. wherev=km/s
Find the magnitude of the earth’s angular velocity as it travelsaround the sun. Assume a year of 365 days.
Express your answer using two significant figures. wherew=s^-1
Find the magnitude of the earth’s centripetal acceleration as ittravels around the sun. Assume a year of 365 days.
Express your answer using two significant figures. where a=m/s^2
Concepts and reason
The main concepts used to solve these questions are angular velocity, centripetal acceleration, and earth velocity.
Initially, Convert the days into seconds and calculate the earths velocity by using the expression to calculate the earth’s velocity, Later calculate the angular velocity of the earth by using the expression to calculate the angular velocity, Finally calculate the earths centripetal acceleration by using the expression of centripetal acceleration.
Fundamentals
Angular velocity is also called rotational velocity. It only applies to objects that are moving along a circular path. It is a vector quantity. Acceleration is the rate at which an object changes its velocity. It is vector quantity. An object is accelerating if it is changing its velocity. Centripetal acceleration is the acceleration that causes an object to move along a circular path and acceleration is toward the center.
The expression for angular velocity is,
Answer:
Calculate the magnitude of the earth’s velocity.
Time taken to complete one resolution is 365 days. Convert time from days into seconds. Radius of earth orbit around the sun is given. Velocity is circumference of orbit upon time taken in one resolution. Calculate the magnitude of earth velocity. Change unit of velocity 
.
The expression for angular velocity is,
Angular velocity is also called rotational velocity. It only applies when object is moving along a circular path. It is a vector quantity. Calculate the earth’s angular velocity when it travels around the sun.
The expression for centripetal acceleration is,
Acceleration is the rate at which an object changes its velocity. It is vector quantity. An object is accelerating if it is changing its velocity. Centripetal acceleration is the acceleration that causes an object to move along a circular path and acceleration is toward the center. Calculate the earth’s centripetal acceleration.