Is Fourth Equation Of Motion Dimensionally Correct?

by | Last updated on January 24, 2024

, , , ,

That being said, s= u + a/2*(2n-1)

is NOT correct

. It implies that if you do not accelerate, you do not move. (if a=0, then s=u)If I travel at a starting velocity of 3m/s, maintain a constant acceleration of 0 for 5,000 years, I’ve traveled significantly farther than 3 m.

Which is the fourth equation of motion?

To derive the fourth equation of motion, first we have to consider the equation for acceleration and then to rearrange it. or

v

2

= u

2

+ 2as

and this equation of motion can be used to find the final velocity or the distance travelled if the other values are given.

Can dimensionally incorrect equation be correct?


A dimensionally incorrect equation may be correct

. A dimensionally correct equation may or may not be correct. For example , s=ut+at2 is dimensionally correct , but not correct actually. A dimensionally incorrect equation may be correct also .

What is T 2pi sqrt l g?

A mass m suspended by a wire of length L is a simple pendulum and undergoes simple harmonic motion for amplitudes less than about 15o. The period of a simple pendulum is T=2π

√Lg T = 2 π L g

, where L is the length of the string and g is the acceleration due to gravity.

Which equation of motion is dimensionally correct?

To check the correctness of physical equation,

v = u + at

, Where ‘u’ is the initial velocity, ‘v’ is the final velocity, ‘a’ is the acceleration and ‘t’ is the time in which the change occurs. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by principle of homogeneity the given equation is dimensionally correct.

What are two equations motion?

The second equation of motion gives the displacement of an object under constant acceleration:

x = x 0 + v 0 t + 1 2 a t 2 .

What is the formula of SNTH?

check the correctness of the relation,

Snth= u+a/2(2n-1)

, where u is initial velocity, a is acceleration and Snth is the distance travelled by the body in nth second.

What is the formula of distance Travelled in Nth second?

The distance travelled by a body in the nth second is given by the expression

(2 + 3n)

.

Which of the following is dimensionally incorrect?

$ {u^2} = 2a(gt – 1) $ where $ g $ must be the acceleration due to gravity. Now, from the first principle stated above, option

C

must be dimensionally incorrect because it has the subtraction of dimensionless constant with a quantity with dimension. Hence, the correct option is option C.

What is the dimensionally wrong equation?

A dimensionally correct equations need not be necessarily correct physical relation. A dimensionally wrong equation

is not correct mathematically too

.

Which of the following is correct a dimensionally incorrect equation may be correct?

Answer ⇒ Option (D). A dimensionally incorrect equation may be correct. A dimensionally equation does not involves the number and if the methods of the dimensions are applied to check the correctness of the equation it does not involves the pure numbers and dimensionless constant.

What is V 2πr T?

v=T2πr​ In Physics,

Uniform Circular Motion

is used to describe the motion of an object traveling at a constant speed in a circle. The speed of the object, also called tangential velocity, can be calculated using the formula above.

What is the length of a pendulum that makes one full swing in 2.2 seconds Use 3.14 for Pi?

What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for Pi. The answer is

4 feet

on edg for algebra.

Is time a frequency?

Frequency is

a rate quantity

. Period is a time quantity. Frequency is the cycles/second. Period is the seconds/cycle.

What are the 5 equations of motion?

In circumstances of constant acceleration, these simpler equations of motion are usually referred to as the “SUVAT” equations, arising from the definitions of kinematic quantities:

displacement (S), initial velocity (u), final velocity (v), acceleration (a), and time (t).

Leah Jackson
Author
Leah Jackson
Leah is a relationship coach with over 10 years of experience working with couples and individuals to improve their relationships. She holds a degree in psychology and has trained with leading relationship experts such as John Gottman and Esther Perel. Leah is passionate about helping people build strong, healthy relationships and providing practical advice to overcome common relationship challenges.