Aceiling fan with 16-in. blades rotates at 45 rpm.

a) find the angular speed of the fan in rad/min.

b) find the linear speed of the tips of the blades in in./min.

* teacher said to not use the formulas (don't use ω=/) and just use conversion method. i'm kind of

(A) "" would be the angular speed.

(B) "" would be the linear speed.

As we know that,

The ceiling fan is rotating circular, so

(A)

The angular speed will be:

=

=

(B)

Linear speed,

The Linear speed will be:

=

=

Thus the above solution is right.

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A. We're told the fan completes 45 full revolutions every minute. One full revolution is , so the fan has an angular speed of

B. Throughout one full revolution of the fan, a point at the tip of one of the fan's blades travels the circumference of a circle with radius 16 in. The circumference is then . This means the linear speed is

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.