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qUESTIONS

The masses of two bodies are measured to be 15.7 ± 0.2 kg and 27.3 ± 0.3 kg. What is the total mass of the two and the error in it?

The acceleration due to gravity is determined by using a simple pendulum of length l = (100 plus/minus 0.1) cm. If its time period is T =(2 pm 0.01) s, find the maximum percentage error in the measurement of g.

In an experiment to determine the volume of an object, mass and density are recorded as m = (5 plus/minus 0.15) kg and rho = (5 plus/minus 0.2) kg m ^ – 3 respectively. Calculate percentage error in the measurement of volume.

The radius of a sphere measured repeatedly yields values 5.63 m, 5.54 m, 5.44 m, 5.40 m and 5.35 m. Determine the most probable value of radius and the mean absolute. relative and percentage errors.

A calorie is a unit of heat and it equals 4.2 J, where 1 J = kg m2s-2. A distant civilisation employs a system of units in which the units of mass, length and time are α kg, β m and γ s. Also J’ is their unit of energy. What will be the magnitude of calorie in their units?

2 The moon is at a distance of 3.84×10^8 m from the Earth. If viewed from two diametrically opposite points on the Earth, the angle subtended at the moon is 1° 54′. What is the diameter of the Earth?

A star is 5.5 light years away from the Earth. How much parallax in parcsec will it subtend when viewed from two opposite points along the orbit of the Earth?

What is the solid angle subtended by the moon at any point of the Earth, given the diameter of the moon is 3474 km and its distance from the Earth 3.84×108 m.

1.Rotational Dynamics

A flywheel is a mechanical device specifically designed to efficiently store rotational energy. For a particular machine it is in the form of a uniform 20 kg disc of diameter 50 cm, able to rotate about its own axis. Calculate its kinetic energy when rotating at 1200 rpm. Calculate its moment of inertia, in case it is rotated about a tangent in its plane.

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