Question #187395

 A particle is moving along a curved path. At a certain instant when the slope of the 

path is 0.75, ax = 6 fps2 and ay = 10 fps2

. Compute the values of the total acceleration

(a), tangential acceleration (at) and normal acceleration (an) at this instant.



1
Expert's answer
2021-05-05T07:40:50-0400

a)


a=62+102=11.7fts2a=\sqrt{6^2+10^2}=11.7\frac{ft}{s^2}

b)


at=11.7(0.75)=8.8fts2a_t=11.7(0.75)=8.8\frac{ft}{s^2}

c)


an=11.728.82=7.7fts2a_n=\sqrt{11.7^2-8.8^2}=7.7\frac{ft}{s^2}


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