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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 ?

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Answer

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 = [tex]\dfrac{unit\ of\ \theta}{unit\ of\ t^2}[/tex]

              =  [tex]\dfrac{rad}{s^2}[/tex]

Unit of A= rad/s²

Unit of B =  [tex]\dfrac{unit\ of\ \theta}{unit\ of\ t^4}[/tex]

              =  [tex]\dfrac{rad}{s^4}[/tex]

Unit of B= rad/s⁴

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