Final answer:
The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is 6.816 m/s².
Step-by-step explanation:
The magnitude of the acceleration of a speck of clay on the edge of a potter’s wheel can be found using the formula:
Magnitude of acceleration (a) = r * ω²
Where r is the radius of the potter's wheel and ω is the angular velocity.
In this case, the diameter of the wheel is 60.7 cm, so the radius is half of that, which is 30.35 cm. To convert it to meters, we divide by 100, so the radius becomes 0.3035 m.
The angular velocity ω can be calculated by converting 45.1 rpm to radians per second (rad/s). Since there are 2π radians in one revolution, we have:
ω = (45.1 rpm) * (2π rad/rev) / (60 s/min) = 4.732 rad/s
Therefore, substituting the values into the formula, we get:
a = (0.3035 m) * (4.732 rad/s)² = 6.816 m/s²
The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is 6.816 m/s².