A rock is moving around a circle as in the picture below. The rock is shown at an arbitrary time. Locations a, b, c, and d around the circle are reference locations. The coordinate system shown is positive up for the movement of the shadow. The radius of the circle is 8.7 m. The time for the rock to make one revolution is 5.7 sec. Find the value of the angular velocity (in rad/s). Give only the number in the box. Round to 2 digits past the decimal.
angular velocity=2/T ,where T is time
period.
A rock is moving around a circle as in the picture below. The rock is shown...
In the pictures below, a bug has landed on the rim of a jelly jar and is moving around the rim. The location where the bug initially lands is described and its angular speed is given. Impose a coordinate system with the origin at the center of the circle of motion. In each of the cases, answer these questions. Case 1 Case 2 Case 3 (a) Find an angle θ0 in standard central position that gives the bug's initial location....
A 1.6 kg particle moves in a circle of radius 3.1 m. As you look down on the plane of its orbit, the particle is initially moving clockwise. If we call the clockwise direction positive, the particle's angular momentum relative to the center of the circle varies with time according to L(t) = 10 N · m·s - (5.0 N · m)t. (a) Find the magnitude and direction of the torque acting on the particle in N · m. Is...
Exercise 0.2. Consider a particle moving around in a circle according to the position function - F(t) Rcos i+Rsin where R is the radius of the circular trajectory and a is a constant with units of radians per second-squared. (a) What is the velocity function, ö(t), for this particle? Is the velocity perpendicular to the position as in the previous problem? HINT: To do this, you will need to make use of the chain rule. (b) What is the particle's...
2. A toy car with a mass of 35g (0.035kg) is moving clockwise around a loop-the-loop (a track in the shape of a circle that causes the toy car to travel along a circular trajectory) with a radius of R- 13cm (0.13m) as depicted in the diagram below. At the point shown (the - on the diagram below) its instantaneous speed (the magnitude of its velocity) is 1.5m/s and its speed is increasing at a rate of 7.1m/s2. (a) (4...
Shown below is a small particle of mass 19 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.4 kg and a radius of 20 cm and is initially at rest. 10 m/s Before After (a) What is the angular velocity (in...
The mass of the symmetrical wheel shown below is m = 4 kg and its radius of gyration about its center is kg = 0.25 m. The outer radius of the wheel is r2 = 0.4 m. The radius of the inner hub, where a cable is wrapped around it, is rı = 0.2 m. The wheel rolls without slipping. The force P, applied to the cable, is increased slowly according to the linear relation P = at, where P...
A common amusement park ride is a Ferris wheel (see figure below, which is not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 27 meters, and it makes one complete revolution around its axle (at location A) in 24 s. In all of the following questions, consider location A (at the center of the axle) as the...
1. A car with constant acceleration of 2.3 m/s2 drives toward east (positive x-axces). (a)How much time in seconds is required for the car to change its speed from 10 m/s to 35 m/s? (b)Calculate the total distance in meters, covered during that time (c) Calculate the average speed during that time interval (d) Find x- and y- components of the vector of acceleration 2. From the top of a tower, a person drops a pebble. The peble strikes the...
2. As shown below a uniform disk of radius R 10.0 cm and mass M 0.850 kg is attached to the end of a uniform rigid rod of length L = 500 mm and mass m = 0.210 kg. Take positive θ in the counterclockwise direction, and positive angular velocity ω as into the page. Assume small angle deflection (a) When the disk is suspended from a pivot as sown what is the period of its motion? (b) If this...
A car with a mass of 1200 kg is moving around a curve with a radius of m constant speed of 10 m/s Calculate the centripetal acceleration the the two decimal the final answer Determine the magnitude of the force required to produce this centripetal acceleration. Round to nearest whole number 2. A 0.23 kg ball moving in a circle at the end of a string has a centripetal acceleration of 10 m/s. Determine the magnitude of the centripetal force...