Agear of radius 7.2 cm turns at 11 revolutions per second. what is the linear velocity of the gear in meters per second?

Linear velocity is given by the formula v = ωr, where ω is the angular velocity in radians, and r is the radius.

We first solve for ω:
11 revs/sec = (11 revs/sec) x (2πrad/rev) = 22π rad/sec.
(note: 2πrad/rev means that there are 2π radians in one revolution)

v = ωr; where v is in meters per second
v = (22π rad/s)(7.2 cm)(10⁻² m/1 cm) = 4.976 m/s 

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.