Question
Why is the sphere taken to be spherical to make a simple pendulum?
✓
Answer
These are two reasons for this :
(i) The center of the gravity of spherical objects is located at their centre. Therefore, the position of the center of gravity can be determined accurately. Hence the value of effective length of the pendulum is also known accurately.
(ii) For a given value, the surface area of a spherical object is minimum, hence the force of air friction on it also minimum due to which the oscillations continue for a longer time.
(i) The center of the gravity of spherical objects is located at their centre. Therefore, the position of the center of gravity can be determined accurately. Hence the value of effective length of the pendulum is also known accurately.
(ii) For a given value, the surface area of a spherical object is minimum, hence the force of air friction on it also minimum due to which the oscillations continue for a longer time.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the number of molecules of an ideal gas in a volume of 1.000cm3a at STP.
Mentioning the shortcomings of the first law of thermodynamic, explain the need for the second law.
The angle made by the string of a simple pendulum with the vertical depends on time as $\theta=\frac{\pi}{90}\sin[(\pi\text{s}^{-1})\text{t}].$ Find the length of the pendulum if $\text{g}=\pi^2\text{m/s}^2.$
→Determine the surface area of the filament of a 100W incandescent lamp reflecting out its labeled power at 3000K. Given $\sigma=5.7\times10^{-8}\text{Wm}$ and emissivity $\varepsilon'$ of the material of the filament = 0.3.
→Two metal strips, each of length l, are clamped parallel to each other on a horizontal floor with a separation b between them. A wire of mass m lies on them perpendicularly, as shown in A vertically-upward magnetic field of strength B exists in the space. The metal strips are smooth but the coefficient of friction between the wire and the floor is $\mu.$ A current i is established when the switch S is closed at the instant t = 0. Discuss the motion of the wire after the switch is closed. How far away from the strips will the wire reach?
→If work required to blow a soap bubble of radius r is W, then what additional work is required to be done to blow it to a radius 3r?
Define Escape velocity and find its value.
Is viscosity a vector?
A planet moving along an elliptical orbit is closest to the Sun at a distance r1 and farthest away at a distance of r2. If v1 and v2 are the linear velocities at these points respectively, then find the ratio $\frac{\text{v}_1}{\text{v}_2}.$
→A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by $15.0^{\circ} C ?\left(R=8.31 J mol ^{-1} K ^{-1}\right)$.
→