Physics

If $$I$$ is the moment of inertia and $$\omega$$ the angular velocity, what is the dimensional formula of rotational kinetic energy, $$\dfrac {1}{2}I\omega^2$$?


ANSWER

$$[ML^{2}T^{-2}]$$


SOLUTION
Dimensionally rotational kinetic energy $$=Work$$ $$done=Energy$$ $$=[ML^{2}T^{-2}]$$
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Single Correct Medium Published on 18th 08, 2020
Next Question
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 218
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
The sum of the numbers $$436.32$$, $$227.244$$ and $$0.301$$ inappropriate significant figures is:
  • A. $$663.821$$
  • B. $$664$$
  • C. $$663.8$$
  • D. $$663.82$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q2 Single Correct Medium
What volume of decinormal $${ K }_{ 2 }{ Cr }_{ 2 }{ O }_{ 7 }$$ solution would be needed to convert 1.19 g of tin to stannic chloride in an acidic medium? ($${ A }_{ Sn }\ =\

119$$)
  • A. 400 ml
  • B. 200 ml
  • C. 250 ml
  • D. 300 ml

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q3 Matrix Medium
Match the following:
Potential difference coulomb
Electric current volt
Electric charges ohm
Resistance newton

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q4 Single Correct Medium
In a new system of units the fundamental quantities are planks constant $$(h)$$ speed of light $$(c)$$ and time $$(T)$$. If the dimensions of Rydberg's constant is $$h^{-x}c^{-y}T^{-z}$$, then what is the value of $$x+y+z$$ ?
  • A. $$0$$
  • B. $$1$$
  • C. $$2$$
  • D. $$3$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q5 Single Correct Medium
The velocity $$v$$ of a particle at time$$ t$$ is given by $$\displaystyle v = at + \frac {b} {t + c} $$ where $$a, b$$ and $$c$$ are constants. The dimensions of $$a, b$$ and $$c$$ are respectively :
  • A. $$ LT^{-2}\, , L $$ and $$\displaystyle T $$
  • B. $$ L^{2}\, , T $$ and $$\displaystyle LT^{2} $$
  • C. $$ LT^{2}\, , LT $$ and $$\displaystyle L $$
  • D. $$ L\, , LT $$ and $$\displaystyle T^{2} $$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer