Please show your work. Thank you! 81. A certain planet spins on its axis 2 a day and orbits the sun 20 a year. Determine the average angular velocity (in rad/s) of the earth as it spins on its axis. Note: Express your answer in seven decimal places. No unit is required for the final answer.

Define angular velocity.

Please refer to the picture when answering these questions... 1) We want to determine a rotation rate that will create a radial acceleration equivalent to gravitational acceleration on Earth. Which of the following is an equation that could be used to achieve this goal?            a) g = v^2/R           b) g = m v^2/R           c) g = v^2/R - Fn/m           d) mg = m v^2/R + Fc 2) Velocity can be represented as distance over time. If T is the amount of time it takes the station to make one full rotation, which of the following is an equivalent expression for velocity?           a) v = 2πR/T          b) v = πR^2/T          c) v = T/2πR          d) v = 2πRT 3) The tube shown here has an outer radius of 1 km. If the acceleration of 10 m/s^2 is desired, about how long should one rotation take?         a) 10 seconds         b) 1 minute         c) 10 minutes         d) 1 hour  4) What is the tangential speed of a person standing inside the station? answer in m/s   Please answer all…

A wheel is spinning at 440 rev/s. It undergoes an angular acceleration until it reaches an angular velocity of 527 rev/s. While accelerating, it completed 2414 revolutions. Determine how long the wheel was accelerating and its angular acceleration during that time. Ata .- s rev/s2

39. John observes a ball of radius 0. 0300 m rolling along a horizontal table at a constant linear speed of 5.20 m/s. If John observes the ball roll off the edge and fall a distance of 6.10 m vertically before hitting the floor. While the ball is in the air, what is the angular displacement John would observe? А. 19.3 rad В. No answer is correct C. 22.6rad D. 11.8 rad Е. 14.9 rad

Please show your work. Thank you! 31. A pitcher throws a curveball that reaches the catcher in 0.23 s. The ball curves because it is spinning at an average angular velocity of 456 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher? Note: Express your answer in whole numbers. No unit is required for the final answer.

Answer the THREE questions in the problem. Show solutions too. And include illustration.. Please answer the three questions.

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A wheel is spinning at 430 rev/s. It undergoes an angular acceleration until it reaches an angular velocity of 574 rev/s. While accelerating it completed 2412 revolutions determine how long the wheel was accelerating and its angular acceleration at the time

how would I find the last parts of the question, (c and d) ?