Question

A computer is reading data from a rotating CD-ROM. At a point that is 0.0208 m from the center of the disk, the centripetal acceleration is 132 m/s². What is the centripetal acceleration at a point that is 0.0600 m from the center of the disc?

A computer is reading data from a rotating CD-ROM. At a point that is 0.0208 m from the center of the disk, the centripetal acceleration is 132 m/s². What is the centripetal acceleration at a point that is 0.0600 m from the center of the disc?

A satellite circles the earth in an orbit whose radius is 3.14 times the earth's radius. The earth's mass is 5.98 x 10²⁴ kg, and its radius is 6.38 x 10⁶ m. What is the period of the satellite?

Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 44.6 km/s and 59.9 km/s. The slower planet's orbital period is 8.88 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years?

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 40.5 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

Answer 1

(1) Centripetal acceleration: It is directed radially toward the centre of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the centre of the circle to the moving body.

angular speed is constant for all the radial distances from the center of the circular path, thus It depends on only radial distance;