Chapter 2

Find the volume of a cylinder whose height is \(7.50\) in. and diameter is \(4.20\) in. (Fig. 2.4).

Solve each formula for the quantity given. $$ a=\frac{v}{t} \text { for } v $$

Find the volume of a cone whose height is \(9.30 \mathrm{~cm}\) if the radius of the base is \(5.40 \mathrm{~cm}\) (Fig. 2.5).

Solve each formula for the quantity given. $$ w=m g \text { for } m $$

Is the length of the side of a square. $$ P=4 b \quad P=42 \overline{0} \text { in. } \quad b $$

Solve each formula for the quantity given. $$ F=m a \text { for } a $$

Solve each formula for the quantity given. $$ E=I R \text { for } R $$

Solve each formula for the quantity given. $$ V=h w h \text { for } w $$

Solve each formula for the quantity given. $$ E_{P}=m g h \text { for } g $$

Solve each formula for the quantity given. $$ E_{P}=m g h \text { for } h $$

Find the volume of a rectangular storage facility \(9.00 \mathrm{ft}\) by \(12.0 \mathrm{ft}\) by \(8.00 \mathrm{ft}\).

Solve each formula for the quantity given. $$ v^{2}=2 g h \text { for } h $$

Find the cross-sectional area of a piston head with a diameter of \(3.25 \mathrm{~cm}\).

Solve each formula for the quantity given. $$ X_{L}=2 \pi f L \text { for } f $$

Find the area of a right triangle that has legs of \(4.00 \mathrm{~cm}\) and \(6.00 \mathrm{~cm}\).

Solve each formula for the quantity given. $$ P=\frac{W}{t} \text { for } W $$

Solve each formula for the quantity given. $$ p=\frac{F}{A} \text { for } F $$

Find the cross-sectional area of a pipe with outer diameter \(3.50 \mathrm{~cm}\) and inner diameter \(3.20 \mathrm{~cm}\).

Find the volume of a spherical water tank with radius \(8.00 \mathrm{~m}\).

Solve each formula for the quantity given. $$ p=\frac{F}{A} \text { for } A $$

The area of a rectangular parking lot is \(900 \overline{0} \mathrm{~m}^{2}\). If the length is \(25.0 \mathrm{~m}\), what is the width?

Is the length of the side of a square. $$ A=b^{2} \quad A=465 \mathrm{in}^{2} \quad b $$

Solve each formula for the quantity given. $$ E_{k}=\frac{1}{2} m v^{2} \text { for } m $$

The volume of a rectangular crate is \(192 \mathrm{ft}^{3}\). If the length is \(8.00 \mathrm{ft}\) and the width is \(4.00 \mathrm{ft}\), what is the height?

Solve each formula for the quantity given. $$ E_{k}=\frac{1}{2} m v^{2} \text { for } v^{2} $$

Find the volume of a brake cylinder whose diameter is \(4.00 \mathrm{~cm}\) and whose length is \(4.20 \mathrm{~cm}\).

Solve each formula for the quantity given. $$ W=F s \text { for } s $$

Find the volume of a tractor engine cylinder whose radius is \(3.90 \mathrm{~cm}\) and whose length is \(8.00 \mathrm{~cm}\).

Solve each formula for the quantity given. $$ v_{f}=v_{i}+a t \text { for } a $$

A cylindrical silo has a circumference of \(29.5 \mathrm{~m}\). Find its diameter.

Solve each formula for the quantity given. $$ V=E-I r \text { for } I $$

Solve each formula for the quantity given. $$ v_{2}=v_{1}+a t \text { for } t $$

A wheel \(30.0 \mathrm{~cm}\) in diameter moving along level ground made 145 complete rotations. How many metres did the wheel travel?

Solve each formula for the quantity given. $$ R=\frac{\pi}{2 P} \text { for } P $$

Solve each formula for the quantity given. $$ R=\frac{k L}{d^{2}} \text { for } L $$

You are asked to design a cylindrical water tank that holds 500,000 gal with radius \(18.0 \mathrm{ft}\). Find its height (1 \(\mathrm{ft}^{3}=7.50\) gal ).

Solve each formula for the quantity given. $$ F=\frac{9}{5} C+32 \text { for } C $$

Solve each formula for the quantity given. $$ C=\frac{5}{9}(F-32) \text { for } F $$

A ceiling is \(12.0 \mathrm{ft}\) by \(15.0 \mathrm{ft}\). How many suspension panels \(1.00 \mathrm{ft}\) by \(3.00 \mathrm{ft}\) are needed to cover the ceiling?

Solve each formula for the quantity given. $$ X_{C}=\frac{1}{2 \pi f C} \text { for } f $$

Solve each formula for the quantity given. $$ R=\frac{\rho L}{A} \text { for } L $$

Solve each formula for the quantity given. $$ R_{T}=R_{1}+R_{2}+R_{3}+R_{4} \text { for } R_{3} $$

The maximum cross-sectional area of a spherical propane storage tank is \(3.05 \mathrm{~m}^{2}\). Will it fit into a \(2.00\) -m-wide trailer?

Solve each formula for the quantity given. $$ Q_{1}=P\left(Q_{2}-Q_{1}\right) \text { for } Q_{2} $$

How many cubic yards of concrete are needed to pour a patio \(12.0 \mathrm{ft} \times 20.0 \mathrm{ft}\) and \(6.00\) in. thick?

Solve each formula for the quantity given. $$ \frac{I_{S}}{I_{P}}=\frac{N_{P}}{N_{S}} \text { for } I_{P} $$

What length of sidewalk \(4.00\) in. thick and \(4.00 \mathrm{ft}\) wide could be poured with \(2.00 \mathrm{yd}^{3}\) of concrete?

Solve each formula for the quantity given. $$ \frac{V_{P}}{V_{S}}=\frac{N_{P}}{N_{S}} \text { for } N_{S} $$

Solve each formula for the quantity given. $$ v_{\text {avg }}=\frac{1}{2}\left(v_{f}+v_{i}\right) \text { for } v_{i} $$

Solve each formula for the quantity given. $$ 2 a\left(s-s_{i}\right)=v^{2}-v_{i}^{2} \text { for } a $$