What is the dimensional formula for time period?

The dimensional formula of the time period is given by [M0L0T1]. Or, T = √[M0 L1 T0] × [M0 L1 T-2]-1 = √[T2] = [M0 L0 T1]. Therefore, the time period is dimensionally represented as [M0 L0 T1].

What is the dimension of time period of revolution?

Assuming that the period of revolution t of the planet depends upon the radius R of its orbit, the mass M of the sun and the universal gravitational constant G. The dimensional formula of time period is 671 [M-1/2 G-1/2 R3/2] (2) [M-1 G-1R3] (3) [M-1/2 G1/2 R-3/2] (4) [M1/2 G1/2 R3]

What is the dimension of time period of a simple pendulum?

The time period of a simple pendulum is given by T=2π√lg, where l is length of the pendulum and g is acceleration due to gravity. Show that this equation is dimensionally correct.

What is the formula for period of revolution?

The distance around a circle is equivalent to a circumference and calculated as 2•pi•R where R is the radius. The time for one revolution around the circle is referred to as the period and denoted by the symbol T. Thus the average speed of an object in circular motion is given by the expression 2•pi•R / T.

What is dimensional formula of T?

Or, T = √[M0 L1 T0] × [M0 L1 T-2]-1 = √[T2] = [M0 L0 T1].

What is the time period?

A time period (denoted by ‘T” ) is the time taken for one complete cycle of vibration to pass a given point. The unit for time period is ‘seconds’. Frequency and time period are in a reciprocal relationship that can be expressed mathematically as: T = 1/f or as: f = 1/T.

What is dimension for time?

Time. A temporal dimension, or time dimension, is a dimension of time. Time is often referred to as the “fourth dimension” for this reason, but that is not to imply that it is a spatial dimension. A temporal dimension is one way to measure physical change.

How do you find the radius of a period?

So r = d/2. Note also the symbol for the period: T. With this equation, given an orbiting object’s speed and the radius of the circle, you can calculate the object’s period.

What are dimensions and dimensional formula?

DIMENSIONS are the powers to which the fundamental quantities are raised to represent other physical quantities. DIMENSIONAL FORMULA is an expression in which dimensions of a physical quantity is represented in terms of fundamental quantities. rosariomividaa3 and 98 more users found this answer helpful. Thanks 59.

What is the relation between time period t and frequency?

The relationship between period and frequency The time for one complete vibration is called the period (T) and is measured in seconds. For example, if the period of a vibration is 0.1 second (one vibration takes 0.1 second), the frequency of the vibration is 10 vibrations per second or 10 hertz.

How do you find the dimension of the gravitational constant?

Or, G = [M 1 L 1 T -2 ] × [L] 2 × [M] -2 = [M -1 L 3 T -2 ]. Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2. Put your understanding of this concept to test by answering a few MCQs.

What is the radius and period of the Moon’s orbit?

The radius and period of the Moon’s orbit was measured with reasonable accuracy thousands of years ago. From the astronomical data in Appendix D, the period of the Moon is 27.3 days T = 2 π r 3 G M E M E = 4 π 2 r 3 G Τ 2 = 4 π 2 ( 3.84 × 10 8 m) 3 ( 6.67 × 10 −11 N · m 2 /kg 2) ( 2.36 × 10 6 s) 2 = 6.01 × 10 24 kg.

Is the gravitational constant dimensionally represented as M-1 L3?

Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.

How do you find the time period of a simple pendulum?

The period (T) of a simple pendulum is assumed to depend on length (l) of the pendulum, acceleration due to gravity (g) and mass (m) of the bob of the pendulum. If the constant of proportionality is 2π, then find the equation for the time period of the simple pendulum. Combining above relations we have T ∝ lx g y m z, T = k lx g y m z ………….. (1)