A pendulum clock taken to the top of a hill will likely gain time. This is because the force of gravity is weaker at higher altitudes, causing the pendulum to swing more slowly. The clock will then tick at a slower rate than at sea level, resulting in gaining time.
Time period of pendulum is, T= 2π*SQRT(L/g) In summer due to high temperature value of 'l' increases which increases the time period of pendulum clock. Hence, pendulum clock loses time in summer. In winter due to low temperature value of 'l' decreases which decreases the time period of pendulum clock. Hence, pendulum clock gains time in winter.
If the grandfather clock is made of brass and the temperature increases from 17°C to 25°C, the clock would gain time due to the brass pendulum expanding. This is because as the temperature increases, the pendulum lengthens causing the clock to run faster. The exact amount of time gained would depend on the specific temperature coefficient of expansion of brass and the length of the pendulum.
The pendulum clock will run slightly faster at the top of the high mountain due to the lower gravitational force and therefore shorter period of the pendulum. This effect is known as gravitational time dilation and is predicted by the theory of relativity.
The most accurate clock available on the market today is the atomic clock, which uses the vibrations of atoms to keep time. These clocks are so precise that they only lose or gain a second every few million years.
Friction in the air. The pendulum actually swings across small air particles and slows it down. That's why, if you have a bowling ball attached to a string and you hold it up to your face and let go, it will swing back at you - but it is impossible for it to gain enough momentum that you had initially to hit you in the face! Common physics :)
Time period of pendulum is, T= 2π*SQRT(L/g) In summer due to high temperature value of 'l' increases which increases the time period of pendulum clock. Hence, pendulum clock loses time in summer. In winter due to low temperature value of 'l' decreases which decreases the time period of pendulum clock. Hence, pendulum clock gains time in winter.
If the grandfather clock is made of brass and the temperature increases from 17°C to 25°C, the clock would gain time due to the brass pendulum expanding. This is because as the temperature increases, the pendulum lengthens causing the clock to run faster. The exact amount of time gained would depend on the specific temperature coefficient of expansion of brass and the length of the pendulum.
The pendulum clock will run slightly faster at the top of the high mountain due to the lower gravitational force and therefore shorter period of the pendulum. This effect is known as gravitational time dilation and is predicted by the theory of relativity.
Virtually all solids expand when they get warmer. Especially in the neighborhood of30° to 40° C, and especially common materials used to construct common householditems.So the pendulum bar or rod ... (I don't know what it's called but I mean the straightrigid thing between the pivot and the weight on the end) ... expands when it warms,and its effective center of mass moves farther from the pivot. This has the effect ofincreasing the period of the pendulum, so the clock runs slower, and "loses time".°
As the arm supporting the pendulum expands in the warmer temperatures of summer, so the swing distance slightly increases, so taking longer to swing and slowing down the clock. Back in the colder winter weather, the pendulum support contracts, getting slightly shorter. This increases the speed of the swing and the timing is increased. So in summer time slows down, and in winter time speed up. This is when adjustment is usually made to regain the correct time.
Because of the air resistance which causes the pendulum to gradually lose energy.
Yes. Pendulum lose energy due to friction with the air.
Lose
The most accurate clock available on the market today is the atomic clock, which uses the vibrations of atoms to keep time. These clocks are so precise that they only lose or gain a second every few million years.
A simple pendulum will definitely not swing continuously in air. The pendulum would lose energy to its surroundings in overcoming air resistance.
The period of a simple pendulum is given by the formulaT = 2*pi*sqrt(L/g)where T = periodL = lengthand g = local acceleration due to gravity.Note that this formula is applicable only when the angular displacement of the pendulum is small. For a displacement of 22.5 degrees (a quarter of a right angle), the true period is approx 1% longer : a clock will lose more than 1/2 a minute every hour!
Friction in the air. The pendulum actually swings across small air particles and slows it down. That's why, if you have a bowling ball attached to a string and you hold it up to your face and let go, it will swing back at you - but it is impossible for it to gain enough momentum that you had initially to hit you in the face! Common physics :)