An object is traveling with uniform circular motion in a circle of radius 18.9 cm and period 2.17 s. Determine the following for the circular motion of this object. (a) translational speed m/s (b) frequency of motion Hz (c) angular speed rad/s
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- An Earth satellite moves in a circular orbit 555 km above Earth's surface with a period of 95.55 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite? (a) Number i Units (b) Number i UnitsA toy train is traveling around a horizontal circular track of radius 1.8 m at a constant speed of 1.5 m/s. Find the period of the train's motion around the track. O 1.2 s O 0.13 s 6.3 s O 7.5 s O 17 s1. (a) To undergo uniform circular motion, you have to have a constant radius and constant velocity. True or False (b) When an object undergoes uniform circular motion, the acceleration of the object always points to the center of the circle. True or False
- A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 257 m, and the car completes the turn in 39.0 s. 35.0° (a) Determine the car's speed. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude |m/s² direction ° counterclockwise from the +x-axisPlease answer the following question(s): 1. A helicopter blade spins at exactly 130 revolutions per minute. Its tip is 5.00 m from the center of rotation. Hint: What is the shape of the path described by the helicopter blade? How do you find the length of this path? (a) What is the total distance traveled by the tip per minute? Enter to 3 significant figures Distance: m (b) What is the average speed of the tip of the blade? Enter to 3 significant figures Average speed: m/s (c) What is the average velocity over one revolution? Enter to 3 significant figures Average velocity: m/sThe earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 57.0 ° north of the equator. Re (а) v %3 Units ac Units (а) v 3D Units ac Units II II
- The tires of a car make 82 revolutions as the car reduces its speed uniformly from 96 km/h to 63 km/h. The tires have a diameter of 0.70 m. If the car continues to decelerate at this rate; how much more time is required for it to stop? (Your result must be in seconds and include 1 digit after the decimal point. Maximum of 2% of error is accepted in your answer.)A Formula One race car is traveling at 80.2 m/s along a straight track enters a turn on the race track with radius of curvature of 223 m. 1.)What magnitude centripetal acceleration, in m/s2, must the car have to stay on the track?The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 50.0° north of the equator. (a) v = (b) v= ac = i i i i Units Units Units Units 0 Re P
- A race car is moving at 40.0 m/s around a circular racetrack of radius 265 m. Calculate (a) the period of the motion and (b) the car’s centripetal acceleration.At some instant, a particle is traveling in a horizontal circular path of radius 6.6m, has a total acceleration with a magnitude of 19m/s^2 and a constant tangential acceleration of 12m/s^2. Determine the speed of the particle at this instant 1/8 of a revolution later.A Ferris wheel with a radius of 24.0 m is turning about a horizontal axis through its center as shown in the figure. The speed of a passenger on the rim is constant and equal to 6.00 m/. What is the magnitude and direction of the passenger's acceleration as she passes through the (a) lowest point in her circular motion and by the highest point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution? (d) Include a diagram of the passenger on the Ferris wheel at both locations and clearly indicate both the velocity and acceleration vectors of the passenger in the diagram