The period depends on both the length of the pendulum and the force due to gravity. They are related by Huygen's law, T = 2π√(l/g). Assuming a gravity of 10Nkg-1 (roughly equal to Earth's 9.81 and a common approximation) it would need to be 2.5/pi2, or about 0.253099 metres.
994
Nice problem! I get 32.1 centimeters.
ts period will become sqrt(2) times as long.
The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum. As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
It would tend towards infinity
There's no relationship between the length of the pendulum and the number of swings.However, a shorter pendulum has a shorter period, i.e. the swings come more often.So a short pendulum has more swings than a long pendulum has in the same amountof time.
The period of a 0.85 meter long pendulum is 1.79 seconds.
Suppose that a pendulum has a period of 1.5 seconds. How long does it take to make a complete back and forth vibration? Is this 1.5 second period pendulum longer or shorter in length than a 1 second period pendulum?
Nice problem! I get 32.1 centimeters.
You can use a simple pendulum, measure how long one period takes, then use the formula for a pendulum, and solve for gravitational acceleration.
A pendulum with a period of five seconds has a length of 6.21 meters.
The weight of the bob will determine how long the pendulum swings before coming to rest in the absence of applied forces. The period, or time of 1 oscillation, is determined only by the length of the pendulum.
Natural period of a long pendulum is slower than for a short pendulum.
If you make the simplifying assumption that everything except the bob is massless, then the mass of the bob has no effect on the period.
You can build a simple pendulum - one that has most of its mass concentrated in a small place, at the end of the pendulum. Measure the pendulum's length, and measure how long it takes to go back and forth. Use the formula for the period of a pendulum, solving for "g".
ts period will become sqrt(2) times as long.
The time of swing of a pendulum is T = 2π √ (l/g) where l is the length of the pendulum. As T ∝√l (Time is directly proportional to the square root of l) then, the longer the pendulum, the greater is the period. Therefore longer pendulums have longer periods than shorter pendulums.
The shorter pendulum has the shorter period.