Question

A hollow, thin-walled sphere of mass 12.0 kg and di- ameter 48.0 cm is rotating about an axle through its center. the angle (in radians) through which it turns as a function of time (in seconds) is given by u1t2 = at 2 bt 4 , where a has numerical value 1.50 and b has numerical value 1.10. what are the units of the constants a and b?

Answer 1

The units of the constants a and b in the given equation are (radians/seconds^2) and (radians/seconds^4), respectively.

Step-by-step explanation:

The given equation is u(t) = at^2 + bt^4, where a = 1.50 and b = 1.10. In order to determine the units of these constants, we need to understand the units of the equation itself. The angle, u(t), is measured in radians, and the time, t, is measured in seconds. Therefore, the units of a and b will depend on the units of the constants multiplied by t. So, the units of a are (radians/seconds^2), and the units of b are (radians/seconds^4).