Question

The angular displacement by the minute hand after 5 minutes is ...?

Answer 1

Angular Displacement of a Body is defined as the Angle between the Initial and Final Positions of the Body while it is moving on a Circular Path. It means it is the Angle through which the Body moves while move on the Circular Path.

It is given by the Expression :

✿  $\bf{\theta = \frac{l}{r}}$

Where :

$\heartsuit$  θ represents the Angle through which the Body moved

$\heartsuit$  l is the Length of Arc or Distance travelled by the Body

$\heartsuit$  r is the Radius

In the Similar way :

Angular Displacement of the Minute Hand is the Angle between the Initial and Final Positions of the Minute Hand while moving on the Circumference of the Clock.

We know : In 1 Hour, Minute Hand moves through an Angle of 360°

⇒ In 60 Minutes, Minute Hand moves through an Angle of 360°

⇒ In (12 × 5) Minutes, Minute Hand moves through an Angle of 360°

⇒ In 5 Minutes, Minute Hand moves through an Angle of $\bf{: (\frac{360}{12})}$

⇒ In 5 Minutes, Minute Hand moves through an Angle of 30°

The Angular Displacement by the Minute Hand after Minutes is 30°

Answer 2

total angular displacement covered by minute hand in a day=360degree

=>60min=360degree

=>5min=360/60*5=30degree is the angular displacement

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