1. Calculate the velocity and acceleration of a point on the Earth's surface whose north latitude is angle degree of 57. The earth radius is R = 6,37 * 10^6m. The rotation speed T = 24h.

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2. A wheel with a radius of R = 25 cm begins to rotate an axis with a constant angular acceleration of E = 1.8 rad/s^2. Calculate the velocities of the points of the wheel's pivot and the turning angle after t = 8s since the start of the movement.

2nd part of same question: A wheel with a radius of R = 20 m rotates around a fixed axis so that the dependence of the turning angle of the radius on the movement time t is as follows phi = 1.2t + 0.5t^2. Please determine:

a) Time instant of wheel angular velocity t = 0s, t=2s, t=5s;

b) Angular acceleration of the wheel;

c) Graphically represent the dependence of the angular velocity o on the movement time t!

TASK 3: Angular acceleration of disk rotation is 0.5 rad/s. Calculate the turning angle by which the angular velocity of the disc increases from 2.5 rad / s^2 to 6.5 rad / s^2.

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TASK 4: During the screening of the film, a ride in a carriage with a wheel of radius 46 cm is shown on the screen. Assume that the wheel has 6 spokes. The film shooting speed was 25 frames per second. At what minimum speed should the carriage move so that the spectators think that;

a) The wheel turn to the "wrong" side;

b) The wheels don't turn?

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