What is the smallest radius of a circle at which a cyclist can travel it its speed is 70 km/hr, given that he bends by angle `60^(@)` while turning.

A circular track of radius 600 m is tio be designed for cars at an average speed of 180 km/hr. What should be the angle of banking of the track?

A 100 turn closely wound circular coil of radius 10 cm carries a current of 3.2 A. a. What is the field at the centre of the coil ? b. What is the magnetic moment of this coil ? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A unifrom magnetic field of 2 T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^@ under the influence of the magnetic field . c. What are the magnitudes of the torques on the coil in the initial and final position ? d. What is the angular speed acqired by the coil when it has rotated by 90^(@) ? The moment of inertia of the coil is 0.1 kg m^2

A car covers a distance of 80 km at a speed of 60 km/hr and another 140 km at a speed of 70 km/hr. What is the average speed of the journey ?

Calculate the angle for which a cyclist bends when he turns a circular path of length 34.3 m in sqrt(22) s.

The equation for the vibration of a string, fixed at both ends vibrating in its third harmonic, is given by y = (0.4 cm) sin[(0.314 cm^-1) x] cos[f(600pis^-1)t] .(a) What is the frequency of vibration ? (b) What are the positions of the nodes ? (c) What is the length of the string ? (d) What is the wavelength and the speed of two travelling waves that can interfere to give this vibration ?

A cyclist while negotiating a circular path with speed 20 ms^(-1) is found to bend an angle by 30^(@) with vertical. What is the radius of the circular path? (given, g=10 ms^(-2)) .

A car travels at a speed of 60 km/hr due north and the other at a speed of 60 km/hr due east. Are the velocities equal? If no, which one is greater ? If you find any of the questions irrelevant, explain.

A cyclist is riding with a speed of 27kmh^(-1) . As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate 0.5ms^(-2) . What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?