Answer to Question #187395 in Engineering for BANNA,FIDEL D.

Question

 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.

Answer 1

a)

$$a=\sqrt{6^2+10^2}=11.7\frac{ft}{s^2}$$

b)

$$a_t=11.7(0.75)=8.8\frac{ft}{s^2}$$

c)

$$a_n=\sqrt{11.7^2-8.8^2}=7.7\frac{ft}{s^2}$$