In the same circle of in congruent circles:Congruent arcs determine ... central angles.ComplementaryCongruent Infinitely

5 answers
Question:

In the same circle of in congruent circles: Congruent arcs determine ... central angles.
Complementary
Congruent
Infinitely many
Supplementary

Answers

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a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

[tex]V=R\omega[/tex]

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

[tex]\omega_1 R_1 = \omega_2 R_2\\[/tex]

[tex]\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM[/tex]

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

[tex]\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}[/tex]

[tex]\omega_2 = 5654.7 \frac{radians}{min}[/tex]

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

congruent minor

Step-by-step explanation:

two congruent circle are corresponding minor

I'm stuck on this question also

Step-by-step explanation:

Step-by-step explanation:

The measure of a central angle is equal to the measure of its intercepted arc. A chord is a segment that has is endpoints on a circle. ... A line is called a straight angle and it forms a 180 degree angle. A central angle is an angle with its vertex at the center of a circle and its sides are radii of the same circle.

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