The length of the string affects the pendulum’s period such that the longer the length of the string, the longer the pendulum’s period. This makes that the pendulum with the longer string completes less back and forth cycles in a given amount of time, because each cycle takes it more time.

The gravity of pendulum never stops, it always accelerates. So the gravity affects the pendulum acceleration and speed. Similarly the tension in the cord will not affect the pendulum but if change in the length of the pendulum while keeping other factors constant changes the length of the period of pendulum.

The period of a pendulum is proportional to the square root of the ratio of its length and the acceleration due to gravity. It is directly proportional to the square root of the length and is inversely proportional to the square root of the value of the acceleration due to gravity.

a) If the length is doubled, the period will increase by a factor of √2 . Doubling the mass of the bob will half the period.

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

The mass or weight of the bob is not a factor in the frequency of the simple pendulum, but the acceleration due to gravity is a factor. Knowing the length of the pendulum, you can determine its frequency. Or, if you want a specific frequency, you can determine the necessary length.

Using the SI recommended acceleration due to gravity of g0 = 9.80665 m/s2, the length of the string will be approximately 993.6 millimetres, i.e. less than a centimeter short of one metre everywhere on Earth.

We know that the time period of the vibration of the second’s pendulum is T=2s. Hence, the length of the second’s pendulum is 99.3 cm.

A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing, a frequency of 1/2 Hz. At standard gravity its length is 0.994 m (39.1 in). This length was determined (in toises) by Marin Mersenne in 1644.

A “seconds pendulum” has a half period of one second. It takes one second for it to go out (tick) and another second for it to come back (tock). What is the length of a seconds pendulum at a place where gravity equals the standard value of 9.80665 m/s2?…solution.

As seen from above formula, the time period is T=2πgRe and hence option A is correct.

Astronauts feel weightless when there is nothing opposing the force of gravity. (B) An astronaut orbiting the Earth does feel weightless because there is no ground or normal force to counteract the force of gravity. Thus, the astronaut is falling.

No, the simple pendulum experiment cannot be conducted inside a satellite as the acceleration due to gravity is zero in space and the time period becomes infinity.

If we use 6,371 km as Earth’s radius, the distance above the surface where gravitational acceleration is halved would be 2,639 km.

Difference between Oscillatory Motion and Periodic Motion Periodic motion is defined as the motion that repeats itself after fixed intervals of time. Oscillatory motion is defined as the to and fro motion of the body about its fixed position.

The main difference is that oscillatory motion is always periodic but a periodic motion may or may not be oscillatory. For example, the motion of a pendulum is both oscillatory and periodic but the motion of the wheels of a car is only periodic because the wheels rotate in a circular motion.

Every oscillatory motion is periodic, but every periodic motion need not be oscillatory. Circular motion is a periodic motion, but it is not oscillatory.

Examples of non-periodic motion:

• Swaying of the branches of a tree.
• Motion of a bouncing ball under the action of gravity and friction.
• The running of a batsman between the wickets.
• Motion of the pestle in a mortar when operated manually. Home.

There are two types of oscillatory motions, namely, Linear Oscillatory Motion and Circular Oscillatory Motion. In linear motion, the object moves left and right or up and down.