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A rotating furnace has been developed recently to give a rough para-
bolic curve to molten glass. This makes the manufacture of very large
telescope mirrors easier and more economical than ever before. The
largest mirror made in this furnace to date has a radius of 4.2 m. While
in the furnace, the centripetal acceleration of the molten glass for this
mirror was 2.13 m/s?. What was the tangential speed at the edge of the
molten glass?

Sagot :

The definition of centripetal acceleration allows to find the result for the linear velocity of the body is:

        v = 2.99 m / s

Kinematics studies the movement of bodies, the centripetal acceleration is the acceleration that a body has where all the energy is used to change the direction of the speed, leaving its modulus constant.

         [tex]a= \frac{v^2}{R}[/tex]  

Where a is the acceleration ccentripette, v the modulus of the velocity and R the radius of gyration.

They indicate that the radius is R = 4.2 m and the centripetal acceleration is a = 2.13 m / s, let's find the modulus of the velocity.

        [tex]v= \sqrt{a R}[/tex]

Let's calculate

        v = [tex]\sqrt{2.13 \ 4.2}[/tex]

        v = 2.99 m / s

In conclusion using the definition of centripetal acceleration we can find the result for the tangential velocity of the body is:

        v = 2.99 m / s

Learn more here:  brainly.com/question/17689540