Practice taking derivatives of a position vector to calculate acceleration 1.10 * a particle moves in a circle (center o and radius r) with constant angular velocity ω counter- clockwise. the circle lies in the xy plane and the particle is on the x axis at time-0 show that the particle's position is given by r(t)r cos(wt) rsin(ot) find the particle's velocity and acceleration. what are the magnitude and direction of the acceleration? relate your results to well-known properties of uniform circular motion hint: you will want to use the fact that the vector r above points radially outward from the origin to the particle.]

Aroll in a paper machine is powered by a separately excited dc machine. operating point 1 (under load): the roll typically operates at 764 rpm and must provide 301 nm of torque to oppose the load of the paper. the armature voltage is 230v for this operating point operating point 2 (no load): when the load is removed the speed of the roll increases to 900 rpm (the field characteristics are unchanged) la ea dev m (a) calculate the maximum torque (units of nm) that the motor can supply with this applied voltage (b) calculate the value of the armature resistance, ra (in ohms) (c) at operating point 1 (loaded condition), the field current, i, and the total input power (armature field), are measured to be to be 10 a and 28,600 w respectively. use this information to calculate the value of the field resistance, rf (in ohms). (d) (d) at operating point 1 (loaded condition), calculate the motor efficiency. express your answer as a percent to at least 2 significant digits. (d) if the field voltage is reduced by 1/2, calculate the new stall torque (in nm) of the motor (f). if the field voltage is reduced by 1/2, calculate the new no-load speed (in rad/sec)

The material that keeps its new shape after it is stretched is called?

How to tell if a molecule is polar or nonpolar with electronegativity