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.

The position of a dragonfly that is flying parallel to the ground is given as a function of time by r⃗ =[2.90m+(0.0900m/s2)t2]i^− (0.0150m/s3)t3j^. a: at what value of t does the velocity vector of the insect make an angle of 34.0 degree clockwise from the x-axis? b: at the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? c : at the time calculated in part (a), what is the direction of the acceleration vector of the insect?

Gas cloud 1 is likely to form a star. gas cloud 2 is not. based on this information, match the given conditions with each cloud

Energy flows from the producer level to the level. is called