What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 46 rpmrpm (revolutions per minute) if the wheel's diameter is 32 cmcm ?

Respuesta :

Acceleration of a speck is 0.77 m/s²

Explanation:

Given of the solution-

Diameter (We can represent as d) = 32 cm

radius, (We can represent as r )= 32/2 = 16 cm = 0.16 m

Angular acceleration,(We can represent as  α ) = 46 rpm

[tex]\alpha = 46 * \frac{2\pi }{60}[/tex]

Acceleration, a = ?

We know that the formula for the acceleration is

[tex]a = r * \alpha[/tex]

[tex]a = 0.16 * 46 * \frac{2\pi }{60}\\ \\a = 0.16 * 46 * \frac{2 * 3.14}{60}[/tex]

[tex]a = 0.77m/s^2[/tex]

Therefore, acceleration of a speck is 0.77 m/s²