Physics

# The dimensional formula of angular velocity $\left(\omega=\cfrac{v}{r}\right)$ is

$M^0L^0T^{-1}$

##### SOLUTION
The angular velocity of a body is given by:
$\omega=\cfrac{V}{r}$

The dimension of $V=[LT^{-1}]$
The dimension of $r=[L]$

$\omega=\cfrac{LT^{-1}}{L}=T^{-1}$

$\omega=M^0L^0T^{-1}$

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 Subjective Medium
Describe a simple experiment to illustrate the existence of inter-molecular spacing.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Hard
If $v=$velocity of a body
$c=$ speed of light
Then the dimensions of $\dfrac{v}{c}$ is:
• A. $[M^0L^0T^0]$
• B. $[MLT^{-1}]$
• C. $[ML^2T^{-2}]$
• D. None of these

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
State the uses of dimensional analysis
using dimensions, show that 1 joule = ${ 10 }^{ 7 }$ erg
OR
Explain different types of errors in measurement.
An object was weighed by a physical balance and following readings were obtained $5.04g, 5.06g,4.17g, 5gm, 4.93gm$
Find
1.) Mean absolute error
2.) percentage error

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 TRUE/FALSE Medium
State whether true or false.
One mega watt is 10 times that of one kilowatt.
• A. True
• B. False

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
The CGS unit of pressure is ______
• A. $dyne\ cm^{-2}$
• B. $N\ m^{-2}$
• C. $J\ m^{-2}$
• D. $dyne\ cm^{-3}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020