Respuesta :

Answer:

The number of degrees through which the pointer rotates is approximately 20°.

Step-by-step explanation:

If the pointer moves, then it is moving in form of an arc. Since the length of the pointer is 6cm, then radius formed with the pointer is 6cm in length.

When it moves 2.1cm on the scale, an arc with length of 2.1cm is formed.

Using the formula for the length of an arc, we can get the desired number of degrees, angle in degrees, needed.

Length of an arc = 2πrA/360°

Length of the arc = 2.1cm

r = 6cm

A = the angle in degrees.

Therefore we have:

2.1 = 2xπx6xA/360

2.1 = πA/30

(2.1x30)/π = A

A ≈ 20°

adioabiola

The number of degrees through which the pointer rotates when it moves 2.1 centimeters on the scale is; 20°

When the pointer moves 2.1 centimetres on the voltmeter scale;

  • This means that the length of the arc formed is; 2.1 cm.

In essence, since the length of an arc is given by;

  • L(arc) = (p/360) × 2 × π × R

where, R = radius = 6cm

  • p = angle subtended = ?
  • π = 3.142.

Therefore;

  • 2.1 = (p/360) × 2 × 3.142 × 6

  • p = (360×2.1)/(2×3.142×6)

p = 20°.

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