Determine each angular velocity. Round to the nearest tenth. 28.4 revolutions in 19 seconds

Determine each angular velocity. Round to the nearest tenth. 17.2 revolutions in 12 seconds

A 200 g block on a 50-cm-long string swings in a circle on a horizontal, frictionless table at 75 rpm. a. What is the speed of the block? b. What is the tension in the string?

As we discussed earlier is a bird's-eye view of particles on a string moving in horizontal circles on a tabletop. All are moving at the same speed. Rank in order, from largest to smallest, the tensions $T_1$ to $T_4$.

A mountain climber is using a rope to pull a bag of supplies up a $45^{\circ}$ slope. The rope is not massless.

Determine each angular displacement in radians. Round to the nearest tenth. 13.2 revolutions

Determine each angular displacement in radians. Round to the nearest tenth. 50.4 revolutions

State the period for each function. Then graph each function. $y=\cos \frac{\theta}{4}$

The $1.0 \mathrm{~kg}$ block in Figure mentioned is tied to the wall with a rope. It sits on top of the $2.0 \mathrm{~kg}$ block. The lower block is pulled to the right with a tension force of $20 \mathrm{~N}$. The coefficient of kinetic friction at both the lower and upper surfaces of the $2.0 \mathrm{~kg}$ block is $\mu_{\mathrm{k}}=0.40$.

a. What is the tension in the rope attached to the wall? b. What is the acceleration of the $2.0 \mathrm{~kg}$ block?

Find the values of $\theta$ for which $\cos \theta=1$ is true.

The principal values of the domain of the cotangent function are $0 \leq x \leq \pi.$ Graph $y=\cot x$ and its inverse.

State the amplitude, period, phase shift, and vertical shift for each function. Then graph the function. $y=3 \cos \left(\theta-\frac{\pi}{2}\right)$

A binary star system consists of two stars of masses $m_1$ and $m_2$. The stars, which gravitationally attract each other, revolve around the center of mass of the system. The star with mass $m_1$ has a centripetal acceleration of magnitude $a_1$. Note that you do not need to understand universal gravitation to solve this problem.

What is $a_2$, the magnitude of the centripetal acceleration of the star with mass m2?

Identify whether the following statement is true or false. If the statement is false, correct it.

Based on the biopsychosocial model, physical well-being is primarily determined by genetic factors.