Question

What is the angular displacement of second
hand in 2 seconds?​

Answer 1

Answer:

$\sf{The \ angular \ displacement \ of \ second \ hand}$

$\sf{in \ two \ seconds \ is \ 12^\circ.}$

To find:

• The angular displacement of second hand in 2 seconds.

Solution:

$\sf{Let \ the \ angular \ displacement \ made \ by}$

$\sf{second \ hand \ in \ 2 \ seconds \ be \ x.}$

$\sf{We \ know, \ the \ second \ hand \ completes}$

$\sf{a \ full \ rotation \ of \ 360^\circ \ in \ 60 \ seconds. }$

$\sf{It's \ in \ direct \ proportion}$

$\sf{\therefore{\dfrac{360}{60}=\dfrac{x}{2}}}$

$\sf{\therefore{x=\dfrac{360\times2}{60}}}$

$\sf{\therefore{x=6\times2}}$

$\sf{\therefore{x=12^\circ}}$

$\sf\purple{\tt{\therefore{The \ angular \ displacement \ of \ second \ hand}}}$

$\sf\purple{\tt{in \ two \ seconds \ is \ 12^\circ.}}$

________________________________

$\sf\blue{Extra \ information:}$

$\sf{In \ direct \ proportion, \ \dfrac{x}{y} \ is \ constant. }$

$\sf{In \ indirect \ proportion, \ xy \ is \ constant. }$

Answer 2

AnSwEr :

• For one complete revolution , time taken will be 1 minute i.e. 60 seconds .

• 1 revolution = 360°

• Then for 1 sec degrees = $\dfrac{360}{60}$ = 6°

• Then in 2 seconds = 6 × 2 = 12°

☯ Therefore , angular displacement of second

angular displacement of secondhand in 2 seconds is 12° .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬