The mass of the Earth is 5.98 x 1024 kg.The radius of the Earth is 6.37 x 106 m.(a) What is Earth's angular velocity in its daily rotation? rad/sec

The Earth completes one rotation every 24 hours. To find the angular velocity, we need to convert this time period into seconds because the standard unit of angular velocity is radians per second.

1 day = 24 hours = 1440 minutes = 86400 seconds

The formula for angular velocity (ω) is:

ω = 2π / T

where:

• 2π is the angle of one complete rotation in radians
• T is the period of rotation in seconds

Substituting the values into the formula, we get:

ω = 2π / 86400 = 7.27 x 10^-5 rad/sec

So, the Earth's angular velocity in its daily rotation is approximately 7.27 x 10^-5 rad/sec.