a wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (fig. 3-37). at time t 1 the dot p painted on

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a wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (fig. 3-37). at time t 1 the dot p painted on

the rim of the wheel is at the point of contact between the wheel and the floor. at a later time t 2 the wheels has rolled through one-half of a revolution. what are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of p?

Physics

1 answer:

Whitepunk [10] · Answer 1 · 2023-10-18T19:55:17+03:00

The magnitude is 167.6cm and the angle (relative to the floor) of the displacement of p is 32.5 degree.

<h3>What is displacement ?</h3>

A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a point P's initial and final positions. It calculates the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.

A point's ultimate location in relation to its original position, or a displacement, can also be defined as a relative position. The instantaneous velocity of an object is the rate at which the displacement changes as a function of time when studying motions of objects throughout time.

Explanation:

a)

height = 2*r =2*45 cm = 90 cm

y = 1/2 * circumference

=1/2 * 2*pi*r

= pi*r

= pi*45

= 141.4 cm

displacement =sqrt ( height^2 + y^2)

= sqrt (90^2 + 141.4^2)

= 167.6 cm

Answer: 167.6 cm