Question #092ca

1 Answer
Apr 18, 2017

The linear speed is #=48.75ms^-1#
The centripetal acceleration is #=31.69ms^-2#
The tangential acceleration is #=17.25ms^-2#

Explanation:

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radius is #r=75m#

angular speed is #omega=0.65rads^-1#

angular acceleration is #alpha=0.23rads^-2#

The linear speed is

#v=omega r#

#=0.65*75=48.75ms^-1#

The centripetal acceleration is

#a_c=v^2/r=omega^2r#

#=0.65*0.65*75=31.69ms^-2#

The tangential acceleration is

#a_t=alpha r#

#=0.23*75=17.25ms^-2#