Question

A hollow, thin-walled sphere of mass 14.0 kg and diameter 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 θ(t)=At2+Bt4, where A has numerical value 1.10 and B has numerical value 1.60.What are the units of the constant A?What are the units of the constant ?

Answer 1

given,

θ(t) = A t²+B t⁴

angle that is θ is in radians

mass of the sphere = 14 Kg

diameter = 48 cm

A = 1.10

B = 1.60

unit of constant A and B = ?

Unit of A =
`(unit\ of\ \theta)/(unit\ of\ t^2)`

=
`(rad)/(s^2)`

Unit of A= rad/s²

Unit of B =
`(unit\ of\ \theta)/(unit\ of\ t^4)`

=
`(rad)/(s^4)`

Unit of B= rad/s⁴