The high-speed drill of a dentist is driven by an air turbine and achieves a rotational speed of 450000 rev/min. The radius of the cutting burr is 1.0 mm. (a) Find the linear speed of the outer edge of the cutting burr. (b) Determine the acceleration of the outer edge and express this as a multiple of the gravitational acceleration, g.

b.

explanation:

10.0

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft